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1400142620 = 225294197607
BaseRepresentation
bin101001101110100…
…0111101100011100
310121120121121121002
41103131013230130
510331414030440
6350533525432
746461005312
oct12335075434
93546547532
101400142620
11659386968
12330aa3878
131940cb676
14d3d4c0b2
1582dc2115
hex53747b1c

1400142620 has 96 divisors (see below), whose sum is σ = 3153185280. Its totient is φ = 521256960.

The previous prime is 1400142613. The next prime is 1400142637. The reversal of 1400142620 is 262410041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1400142592 and 1400142601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2306357 + ... + 2306963.

It is an arithmetic number, because the mean of its divisors is an integer number (32845680).

Almost surely, 21400142620 is an apocalyptic number.

1400142620 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 1400142620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576592640).

1400142620 is an abundant number, since it is smaller than the sum of its proper divisors (1753042660).

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

1400142620 is a wasteful number, since it uses less digits than its factorization.

1400142620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1400142620 is about 37418.4796591203. The cubic root of 1400142620 is about 1118.7269282717.

Adding to 1400142620 its reverse (262410041), we get a palindrome (1662552661).

The spelling of 1400142620 in words is "one billion, four hundred million, one hundred forty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 41 58 82 97 116 145 164 194 205 290 388 410 485 580 607 820 970 1189 1214 1940 2378 2428 2813 3035 3977 4756 5626 5945 6070 7954 11252 11890 12140 14065 15908 17603 19885 23780 24887 28130 35206 39770 49774 56260 58879 70412 79540 88015 99548 115333 117758 124435 176030 230666 235516 248870 294395 352060 461332 497740 576665 588790 721723 1153330 1177580 1443446 1707491 2306660 2414039 2886892 3414982 3608615 4828078 6829964 7217230 8537455 9656156 12070195 14434460 17074910 24140390 34149820 48280780 70007131 140014262 280028524 350035655 700071310 1400142620