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145359810 = 232511314293
BaseRepresentation
bin10001010101000…
…00001111000010
3101010112001011200
420222200033002
5244203003220
622231322030
73413352351
oct1052401702
9333461150
10145359810
1175062a82
1240820316
1324165b2b
141543b998
15cb64890
hex8aa03c2

145359810 has 48 divisors (see below), whose sum is σ = 381306744. Its totient is φ = 38416896.

The previous prime is 145359787. The next prime is 145359817. The reversal of 145359810 is 18953541.

145359810 is a `hidden beast` number, since 1 + 4 + 53 + 598 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23941449 + 121418361 = 4893^2 + 11019^2 .

It is a super-2 number, since 2×1453598102 = 42258948726472200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (145359817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3024 + ... + 17316.

Almost surely, 2145359810 is an apocalyptic number.

145359810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145359810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190653372).

145359810 is an abundant number, since it is smaller than the sum of its proper divisors (235946934).

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

145359810 is a wasteful number, since it uses less digits than its factorization.

145359810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14419 (or 14416 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 145359810 is about 12056.5256189335. The cubic root of 145359810 is about 525.7929785250.

The spelling of 145359810 in words is "one hundred forty-five million, three hundred fifty-nine thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 14293 28586 42879 71465 85758 128637 142930 214395 257274 428790 643185 1286370 1615109 3230218 4845327 8075545 9690654 14535981 16151090 24226635 29071962 48453270 72679905 145359810