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412551020 = 22574121753
BaseRepresentation
bin11000100101110…
…000011101101100
31001202021202121102
4120211300131230
51321103113040
6104534222232
713136424440
oct3045603554
91052252542
10412551020
111a1968762
12b61b4978
136761733b
143cb10820
1526342515
hex1897076c

412551020 has 72 divisors (see below), whose sum is σ = 1015439712. Its totient is φ = 137917440.

The previous prime is 412551017. The next prime is 412551059. The reversal of 412551020 is 20155214.

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 = 412550983 and 412551001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234464 + ... + 236216.

Almost surely, 2412551020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412551020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507719856).

412551020 is an abundant number, since it is smaller than the sum of its proper divisors (602888692).

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

412551020 is a wasteful number, since it uses less digits than its factorization.

412551020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 412551020 is about 20311.3519983284. The cubic root of 412551020 is about 744.4334656599.

The spelling of 412551020 in words is "four hundred twelve million, five hundred fifty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 1681 1753 2870 3362 3506 5740 6724 7012 8405 8765 11767 12271 16810 17530 23534 24542 33620 35060 47068 49084 58835 61355 71873 117670 122710 143746 235340 245420 287492 359365 503111 718730 1006222 1437460 2012444 2515555 2946793 5031110 5893586 10062220 11787172 14733965 20627551 29467930 41255102 58935860 82510204 103137755 206275510 412551020