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168820992 = 2832471559
BaseRepresentation
bin10100001000000…
…00000100000000
3102202122222212100
422010000010000
5321204232432
624430230400
74116645324
oct1204000400
9382588770
10168820992
118732778a
1248655400
1328c8b7a2
14185c7984
15ec4b07c
hexa100100

168820992 has 108 divisors (see below), whose sum is σ = 497427840. Its totient is φ = 55041024.

The previous prime is 168820979. The next prime is 168821011. The reversal of 168820992 is 299028861.

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, 107509 + ... + 109067.

Almost surely, 2168820992 is an apocalyptic number.

168820992 is a gapful number since it is divisible by the number (12) 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 168820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248713920).

168820992 is an abundant number, since it is smaller than the sum of its proper divisors (328606848).

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

168820992 is a wasteful number, since it uses less digits than its factorization.

168820992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 168820992 is about 12993.1132527967. The cubic root of 168820992 is about 552.6822063063.

The spelling of 168820992 in words is "one hundred sixty-eight million, eight hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 564 576 752 768 846 1128 1152 1504 1559 1692 2256 2304 3008 3118 3384 4512 4677 6016 6236 6768 9024 9354 12032 12472 13536 14031 18048 18708 24944 27072 28062 36096 37416 49888 54144 56124 73273 74832 99776 108288 112248 146546 149664 199552 219819 224496 293092 299328 399104 439638 448992 586184 598656 659457 879276 897984 1172368 1197312 1318914 1758552 1795968 2344736 2637828 3517104 3591936 4689472 5275656 7034208 9378944 10551312 14068416 18757888 21102624 28136832 42205248 56273664 84410496 168820992