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870020040 = 233519936433
BaseRepresentation
bin110011110110110…
…111001111001000
32020122002121010110
4303312313033020
53240211120130
6222155314320
730363022401
oct6366671710
92218077113
10870020040
11407115a2a
1220344b9a0
1310b32a876
14837949a8
15515a8ab0
hex33db73c8

870020040 has 64 divisors (see below), whose sum is σ = 2623248000. Its totient is φ = 230833152.

The previous prime is 870020017. The next prime is 870020071. The reversal of 870020040 is 40020078.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 870019989 and 870020016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5664 + ... + 42096.

It is an arithmetic number, because the mean of its divisors is an integer number (40988250).

Almost surely, 2870020040 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 870020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311624000).

870020040 is an abundant number, since it is smaller than the sum of its proper divisors (1753227960).

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

870020040 is a wasteful number, since it uses less digits than its factorization.

870020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36646 (or 36642 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 870020040 is about 29496.1021153643. The cubic root of 870020040 is about 954.6476007613.

The spelling of 870020040 in words is "eight hundred seventy million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1990 2388 2985 3980 4776 5970 7960 11940 23880 36433 72866 109299 145732 182165 218598 291464 364330 437196 546495 728660 874392 1092990 1457320 2185980 4371960 7250167 14500334 21750501 29000668 36250835 43501002 58001336 72501670 87002004 108752505 145003340 174004008 217505010 290006680 435010020 870020040