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145740640 = 25519191251
BaseRepresentation
bin10001010111111…
…01001101100000
3101011020101120111
420223331031200
5244302200030
622243421104
73416526553
oct1053751540
9334211514
10145740640
11752a3111
1240984794
132426a286
14154da69a
15cbdc62a
hex8afd360

145740640 has 96 divisors (see below), whose sum is σ = 365783040. Its totient is φ = 54720000.

The previous prime is 145740629. The next prime is 145740713. The reversal of 145740640 is 46047541.

145740640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580515 + ... + 580765.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2145740640 is an apocalyptic number.

145740640 is a gapful number since it is divisible by the number (10) 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 145740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

145740640 is an abundant number, since it is smaller than the sum of its proper divisors (220042400).

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

145740640 is a wasteful number, since it uses less digits than its factorization.

145740640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 145740640 is about 12072.3088098342. The cubic root of 145740640 is about 526.2517553254.

The spelling of 145740640 in words is "one hundred forty-five million, seven hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 191 251 304 380 382 502 608 760 764 955 1004 1255 1520 1528 1910 2008 2510 3040 3056 3629 3820 4016 4769 5020 6112 7258 7640 8032 9538 10040 14516 15280 18145 19076 20080 23845 29032 30560 36290 38152 40160 47690 47941 58064 72580 76304 95380 95882 116128 145160 152608 190760 191764 239705 290320 381520 383528 479410 580640 763040 767056 910879 958820 1534112 1821758 1917640 3643516 3835280 4554395 7287032 7670560 9108790 14574064 18217580 29148128 36435160 72870320 145740640