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145720920 = 23357871543
BaseRepresentation
bin10001010111110…
…00011001011000
3101011012101112010
420223320121120
5244301032140
622243145520
73416415222
oct1053703130
9334171463
10145720920
117528a314
12409752a0
13242612c7
14154d3412
15cbd6880
hex8af8658

145720920 has 64 divisors (see below), whose sum is σ = 438001920. Its totient is φ = 38784384.

The previous prime is 145720919. The next prime is 145720931. The reversal of 145720920 is 29027541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93669 + ... + 95211.

It is an arithmetic number, because the mean of its divisors is an integer number (6843780).

Almost surely, 2145720920 is an apocalyptic number.

145720920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145720920 is an abundant number, since it is smaller than the sum of its proper divisors (292281000).

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

145720920 is a wasteful number, since it uses less digits than its factorization.

145720920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 145720920 is about 12071.4920370267. The cubic root of 145720920 is about 526.2280187462.

The spelling of 145720920 in words is "one hundred forty-five million, seven hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 787 1543 1574 2361 3086 3148 3935 4629 4722 6172 6296 7715 7870 9258 9444 11805 12344 15430 15740 18516 18888 23145 23610 30860 31480 37032 46290 47220 61720 92580 94440 185160 1214341 2428682 3643023 4857364 6071705 7286046 9714728 12143410 14572092 18215115 24286820 29144184 36430230 48573640 72860460 145720920