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145001376 = 25321338729
BaseRepresentation
bin10001010010010…
…00101110100000
3101002211211111100
420221020232200
5244110021001
622215514400
73410330352
oct1051105640
9332754440
10145001376
1174938753
1240688a00
132406b940
14153870d2
15cae3586
hex8a48ba0

145001376 has 72 divisors (see below), whose sum is σ = 444078180. Its totient is φ = 44614656.

The previous prime is 145001359. The next prime is 145001393. The reversal of 145001376 is 673100541.

It is an interprime number because it is at equal distance from previous prime (145001359) and next prime (145001393).

It can be written as a sum of positive squares in 2 ways, for example, as 112784400 + 32216976 = 10620^2 + 5676^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 15621 + ... + 23108.

Almost surely, 2145001376 is an apocalyptic number.

145001376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145001376 is an abundant number, since it is smaller than the sum of its proper divisors (299076804).

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

145001376 is a wasteful number, since it uses less digits than its factorization.

145001376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38758 (or 38747 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 145001376 is about 12041.6517139469. The cubic root of 145001376 is about 525.3604490686.

It can be divided in two parts, 14500 and 1376, that added together give a square (15876 = 1262).

The spelling of 145001376 in words is "one hundred forty-five million, one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 38729 77458 116187 154916 232374 309832 348561 464748 503477 619664 697122 929496 1006954 1239328 1394244 1510431 1858992 2013908 2788488 3020862 3717984 4027816 4531293 5576976 6041724 8055632 9062586 11153952 12083448 16111264 18125172 24166896 36250344 48333792 72500688 145001376