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146364920 = 235131731627
BaseRepresentation
bin10001011100101…
…01100111111000
3101012102002220222
420232111213320
5244432134140
622305035212
73425036612
oct1056254770
9335362828
10146364920
117568a149
1241025b08
1324428480
141561ddb2
15ccb25b5
hex8b959f8

146364920 has 64 divisors (see below), whose sum is σ = 356922720. Its totient is φ = 53697024.

The previous prime is 146364913. The next prime is 146364931. The reversal of 146364920 is 29463641.

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, 89147 + ... + 90773.

Almost surely, 2146364920 is an apocalyptic number.

146364920 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 146364920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178461360).

146364920 is an abundant number, since it is smaller than the sum of its proper divisors (210557800).

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

146364920 is a wasteful number, since it uses less digits than its factorization.

146364920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 146364920 is about 12098.1370466696. The cubic root of 146364920 is about 527.0020847578.

The spelling of 146364920 in words is "one hundred forty-six million, three hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 173 260 346 520 692 865 1384 1627 1730 2249 3254 3460 4498 6508 6920 8135 8996 11245 13016 16270 17992 21151 22490 32540 42302 44980 65080 84604 89960 105755 169208 211510 281471 423020 562942 846040 1125884 1407355 2251768 2814710 3659123 5629420 7318246 11258840 14636492 18295615 29272984 36591230 73182460 146364920