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169020072 = 233213359503
BaseRepresentation
bin10100001001100…
…00101010101000
3102210001002221200
422010300222220
5321232120242
624434404200
74121434614
oct1204605250
9383032850
10169020072
1187453311
1248730660
132902b2a0
141863a344
15ec8a04c
hexa130aa8

169020072 has 96 divisors (see below), whose sum is σ = 495331200. Its totient is φ = 51758208.

The previous prime is 169020043. The next prime is 169020097. The reversal of 169020072 is 270020961.

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, 335773 + ... + 336275.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2169020072 is an apocalyptic number.

169020072 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 169020072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

169020072 is an abundant number, since it is smaller than the sum of its proper divisors (326311128).

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

169020072 is a wasteful number, since it uses less digits than its factorization.

169020072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 169020072 is about 13000.7719770789. The cubic root of 169020072 is about 552.8993687791.

The spelling of 169020072 in words is "one hundred sixty-nine million, twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 359 468 503 718 936 1006 1077 1436 1509 2012 2154 2872 3018 3231 4024 4308 4527 4667 6036 6462 6539 8616 9054 9334 12072 12924 13078 14001 18108 18668 19617 25848 26156 28002 36216 37336 39234 42003 52312 56004 58851 78468 84006 112008 117702 156936 168012 180577 235404 336024 361154 470808 541731 722308 1083462 1444616 1625193 2166924 2347501 3250386 4333848 4695002 6500772 7042503 9390004 13001544 14085006 18780008 21127509 28170012 42255018 56340024 84510036 169020072