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1016961840 = 243251412447
BaseRepresentation
bin111100100111011…
…001101100110000
32121212121000101100
4330213121230300
54040320234330
6244525004400
734126014216
oct7447315460
92555530340
101016961840
11482059534
122446b3700
131328c878b
14990c4cb6
155e432060
hex3c9d9b30

1016961840 has 60 divisors (see below), whose sum is σ = 3415299264. Its totient is φ = 271189632.

The previous prime is 1016961787. The next prime is 1016961857. The reversal of 1016961840 is 481696101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10169618402 = 2068422768032371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1016961795 and 1016961804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705504 + ... + 706943.

Almost surely, 21016961840 is an apocalyptic number.

1016961840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1016961840 is an abundant number, since it is smaller than the sum of its proper divisors (2398337424).

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

1016961840 is a wasteful number, since it uses less digits than its factorization.

1016961840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412466 (or 1412457 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1016961840 is about 31889.8391341192. The cubic root of 1016961840 is about 1005.6222774232.

The spelling of 1016961840 in words is "one billion, sixteen million, nine hundred sixty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1412447 2824894 4237341 5649788 7062235 8474682 11299576 12712023 14124470 16949364 21186705 22599152 25424046 28248940 33898728 42373410 50848092 56497880 63560115 67797456 84746820 101696184 112995760 127120230 169493640 203392368 254240460 338987280 508480920 1016961840