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145630540 = 225111096073
BaseRepresentation
bin10001010111000…
…10010101001100
3101011000210112201
420223202111030
5244240134130
622241211244
73415560556
oct1053422514
9334023481
10145630540
1175228420
1240930b24
132422c123
14154ac4d6
15cbb9bca
hex8ae254c

145630540 has 48 divisors (see below), whose sum is σ = 336742560. Its totient is φ = 52462080.

The previous prime is 145630523. The next prime is 145630543. The reversal of 145630540 is 45036541.

It is a junction number, because it is equal to n+sod(n) for n = 145630499 and 145630508.

It is not an unprimeable number, because it can be changed into a prime (145630543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20944 + ... + 27016.

It is an arithmetic number, because the mean of its divisors is an integer number (7015470).

Almost surely, 2145630540 is an apocalyptic number.

145630540 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 145630540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168371280).

145630540 is an abundant number, since it is smaller than the sum of its proper divisors (191112020).

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

145630540 is a wasteful number, since it uses less digits than its factorization.

145630540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 145630540 is about 12067.7479257731. The cubic root of 145630540 is about 526.1192026968.

The spelling of 145630540 in words is "one hundred forty-five million, six hundred thirty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 218 220 436 545 1090 1199 2180 2398 4796 5995 6073 11990 12146 23980 24292 30365 60730 66803 121460 133606 267212 334015 661957 668030 1323914 1336060 2647828 3309785 6619570 7281527 13239140 14563054 29126108 36407635 72815270 145630540