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870740928 = 26376221
BaseRepresentation
bin110011111001100…
…111001111000000
32020200110020000000
4303321213033000
53240402202203
6222223000000
730402114201
oct6371471700
92220406000
10870740928
11407568602
12203739000
1310b520a25
14839015a8
155169c4a3
hex33e673c0

870740928 has 112 divisors (see below), whose sum is σ = 2591836320. Its totient is φ = 290200320.

The previous prime is 870740881. The next prime is 870740957. The reversal of 870740928 is 829047078.

It is a zygodrome in base 2.

It is a congruent number.

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, 136858 + ... + 143078.

Almost surely, 2870740928 is an apocalyptic number.

870740928 is the 18663-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870740928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295918160).

870740928 is an abundant number, since it is smaller than the sum of its proper divisors (1721095392).

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

870740928 is an frugal number, since it uses more digits than its factorization.

870740928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 870740928 is about 29508.3196403997. The cubic root of 870740928 is about 954.9111977588.

The spelling of 870740928 in words is "eight hundred seventy million, seven hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5832 6221 7776 8748 11664 12442 15552 17496 18663 23328 24884 34992 37326 46656 49768 55989 69984 74652 99536 111978 139968 149304 167967 199072 223956 298608 335934 398144 447912 503901 597216 671868 895824 1007802 1194432 1343736 1511703 1791648 2015604 2687472 3023406 3583296 4031208 4535109 5374944 6046812 8062416 9070218 10749888 12093624 13605327 16124832 18140436 24187248 27210654 32249664 36280872 48374496 54421308 72561744 96748992 108842616 145123488 217685232 290246976 435370464 870740928