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145942272 = 283279049
BaseRepresentation
bin10001011001011…
…10011100000000
3101011121122011100
420230232130000
5244330123042
622252014400
73421326450
oct1054563400
9334548140
10145942272
1175420653
1240a61400
132430ac98
141554dd60
15cc2c24c
hex8b2e700

145942272 has 108 divisors (see below), whose sum is σ = 480953200. Its totient is φ = 41693184.

The previous prime is 145942267. The next prime is 145942283. The reversal of 145942272 is 272249541.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11604 + ... + 20652.

Almost surely, 2145942272 is an apocalyptic number.

145942272 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 145942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240476600).

145942272 is an abundant number, since it is smaller than the sum of its proper divisors (335010928).

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

145942272 is an equidigital number, since it uses as much as digits as its factorization.

145942272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9078 (or 9061 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 145942272 is about 12080.6569357796. The cubic root of 145942272 is about 526.4943330478.

The spelling of 145942272 in words is "one hundred forty-five million, nine hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 9049 16128 18098 27147 36196 54294 63343 72392 81441 108588 126686 144784 162882 190029 217176 253372 289568 325764 380058 434352 506744 570087 579136 651528 760116 868704 1013488 1140174 1158272 1303056 1520232 1737408 2026976 2280348 2316544 2606112 3040464 3474816 4053952 4560696 5212224 6080928 6949632 8107904 9121392 10424448 12161856 16215808 18242784 20848896 24323712 36485568 48647424 72971136 145942272