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145368630 = 232511146837
BaseRepresentation
bin10001010101000…
…10011000110110
3101010112111021100
420222202120312
5244203244010
622231430530
73413420151
oct1052423066
9333474240
10145368630
1175069670
1240825446
1324169b54
1415440c98
15cb672c0
hex8aa2636

145368630 has 48 divisors (see below), whose sum is σ = 412321104. Its totient is φ = 35240640.

The previous prime is 145368617. The next prime is 145368637. The reversal of 145368630 is 36863541.

145368630 is a `hidden beast` number, since 14 + 5 + 3 + 6 + 8 + 630 = 666.

It is a super-2 number, since 2×1453686302 = 42264077176153800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145368637) 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, 72429 + ... + 74408.

It is an arithmetic number, because the mean of its divisors is an integer number (8590023).

Almost surely, 2145368630 is an apocalyptic number.

145368630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145368630 is an abundant number, since it is smaller than the sum of its proper divisors (266952474).

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

145368630 is a wasteful number, since it uses less digits than its factorization.

145368630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146861 (or 146858 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 145368630 is about 12056.8913904041. The cubic root of 145368630 is about 525.8036128268.

The spelling of 145368630 in words is "one hundred forty-five million, three hundred sixty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 146837 293674 440511 734185 881022 1321533 1468370 1615207 2202555 2643066 3230414 4405110 4845621 6607665 8076035 9691242 13215330 14536863 16152070 24228105 29073726 48456210 72684315 145368630