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1400424400 = 245217919559
BaseRepresentation
bin101001101111000…
…1100011111010000
310121121010221010101
41103132030133100
510332002040100
6350543542144
746463260654
oct12336143720
93547127111
101400424400
11659559641
12330bba954
131941999bb
14d3dc2a64
1582e2a86a
hex5378c7d0

1400424400 has 60 divisors (see below), whose sum is σ = 3383488800. Its totient is φ = 557011840.

The previous prime is 1400424379. The next prime is 1400424407. The reversal of 1400424400 is 44240041.

It is a super-2 number, since 2×14004244002 = 3922377000230720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400424407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61821 + ... + 81379.

It is an arithmetic number, because the mean of its divisors is an integer number (56391480).

Almost surely, 21400424400 is an apocalyptic number.

1400424400 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 1400424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691744400).

1400424400 is an abundant number, since it is smaller than the sum of its proper divisors (1983064400).

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

1400424400 is a wasteful number, since it uses less digits than its factorization.

1400424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19756 (or 19745 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 1400424400 is about 37422.2447215557. The cubic root of 1400424400 is about 1118.8019715149.

Adding to 1400424400 its reverse (44240041), we get a palindrome (1444664441).

The spelling of 1400424400 in words is "one billion, four hundred million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 716 895 1432 1790 2864 3580 4475 7160 8950 14320 17900 19559 35800 39118 71600 78236 97795 156472 195590 312944 391180 488975 782360 977950 1564720 1955900 3501061 3911800 7002122 7823600 14004244 17505305 28008488 35010610 56016976 70021220 87526525 140042440 175053050 280084880 350106100 700212200 1400424400