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684985920 = 26353123017
BaseRepresentation
bin101000110101000…
…000111001000000
31202201220220000220
4220311000321000
52400324022140
6151545343040
722655166333
oct5065007100
91681826026
10684985920
11321725073
12171497a80
13abbb3518
1466d8a61a
1540208bd0
hex28d40e40

684985920 has 112 divisors (see below), whose sum is σ = 2245083648. Its totient is φ = 176762880.

The previous prime is 684985901. The next prime is 684985927. The reversal of 684985920 is 29589486.

It is not an unprimeable number, because it can be changed into a prime (684985927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18252 + ... + 41268.

Almost surely, 2684985920 is an apocalyptic number.

684985920 is a gapful number since it is divisible by the number (60) 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 684985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122541824).

684985920 is an abundant number, since it is smaller than the sum of its proper divisors (1560097728).

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

684985920 is a wasteful number, since it uses less digits than its factorization.

684985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23068 (or 23058 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 684985920 is about 26172.2356706492. The cubic root of 684985920 is about 881.5099421293.

The spelling of 684985920 in words is "six hundred eighty-four million, nine hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 23017 29760 46034 69051 92068 115085 138102 184136 230170 276204 345255 368272 460340 552408 690510 713527 736544 920680 1104816 1381020 1427054 1473088 1841360 2140581 2209632 2762040 2854108 3567635 3682720 4281162 4419264 5524080 5708216 7135270 7365440 8562324 10702905 11048160 11416432 14270540 17124648 21405810 22096320 22832864 28541080 34249296 42811620 45665728 57082160 68498592 85623240 114164320 136997184 171246480 228328640 342492960 684985920