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145274360 = 235711101467
BaseRepresentation
bin10001010100010…
…11010111111000
3101010100200221212
420222023113320
5244142234420
622225422252
73412545260
oct1052132770
9333320855
10145274360
1175004860
124079a988
1324135c7a
14154187a0
15cb493c5
hex8a8b5f8

145274360 has 128 divisors (see below), whose sum is σ = 412439040. Its totient is φ = 44736000.

The previous prime is 145274351. The next prime is 145274377. The reversal of 145274360 is 63472541.

145274360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1452743602 = 42209279346819200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310847 + ... + 311313.

It is an arithmetic number, because the mean of its divisors is an integer number (3222180).

Almost surely, 2145274360 is an apocalyptic number.

145274360 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 145274360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206219520).

145274360 is an abundant number, since it is smaller than the sum of its proper divisors (267164680).

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

145274360 is a wasteful number, since it uses less digits than its factorization.

145274360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 145274360 is about 12052.9813739174. The cubic root of 145274360 is about 525.6899289114.

The spelling of 145274360 in words is "one hundred forty-five million, two hundred seventy-four thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 101 110 140 154 202 220 280 308 385 404 440 467 505 616 707 770 808 934 1010 1111 1414 1540 1868 2020 2222 2335 2828 3080 3269 3535 3736 4040 4444 4670 5137 5555 5656 6538 7070 7777 8888 9340 10274 11110 13076 14140 15554 16345 18680 20548 22220 25685 26152 28280 31108 32690 35959 38885 41096 44440 47167 51370 62216 65380 71918 77770 94334 102740 130760 143836 155540 179795 188668 205480 235835 287672 311080 330169 359590 377336 471670 518837 660338 719180 943340 1037674 1320676 1438360 1650845 1886680 2075348 2594185 2641352 3301690 3631859 4150696 5188370 6603380 7263718 10376740 13206760 14527436 18159295 20753480 29054872 36318590 72637180 145274360