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1400423200 = 255211233683
BaseRepresentation
bin101001101111000…
…1100001100100000
310121121010212110221
41103132030030200
510332002020300
6350543532424
746463254321
oct12336141440
93547125427
101400423200
11659558750
12330bba114
131941992a7
14d3dc2448
1582e2a31a
hex5378c320

1400423200 has 144 divisors (see below), whose sum is σ = 3751072416. Its totient is φ = 506316800.

The previous prime is 1400423191. The next prime is 1400423203. The reversal of 1400423200 is 23240041.

It is a super-2 number, since 2×14004232002 = 3922370278196480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1400423203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2050059 + ... + 2050741.

It is an arithmetic number, because the mean of its divisors is an integer number (26049114).

Almost surely, 21400423200 is an apocalyptic number.

1400423200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875536208).

1400423200 is an abundant number, since it is smaller than the sum of its proper divisors (2350649216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1400423200 is a wasteful number, since it uses less digits than its factorization.

1400423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1400423200 is about 37422.2286883077. The cubic root of 1400423200 is about 1118.8016519539.

Adding to 1400423200 its reverse (23240041), we get a palindrome (1423663241).

The spelling of 1400423200 in words is "one billion, four hundred million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 233 275 352 400 440 466 550 683 800 880 932 1100 1165 1366 1760 1864 2200 2330 2563 2732 3415 3728 4400 4660 5126 5464 5825 6830 7456 7513 8800 9320 10252 10928 11650 12815 13660 15026 17075 18640 20504 21856 23300 25630 27320 30052 34150 37280 37565 41008 46600 51260 54640 60104 64075 68300 75130 82016 93200 102520 109280 120208 128150 136600 150260 159139 186400 187825 205040 240416 256300 273200 300520 318278 375650 410080 512600 546400 601040 636556 751300 795695 1025200 1202080 1273112 1502600 1591390 1750529 2050400 2546224 3005200 3182780 3501058 3978475 5092448 6010400 6365560 7002116 7956950 8752645 12731120 14004232 15913900 17505290 25462240 28008464 31827800 35010580 43763225 56016928 63655600 70021160 87526450 127311200 140042320 175052900 280084640 350105800 700211600 1400423200