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146153150 = 252111320441
BaseRepresentation
bin10001011011000…
…01111010111110
3101012000100102122
420231201322332
5244403400100
622300322542
73423165323
oct1055417276
9335010378
10146153150
1175555030
1240b43452
1324382c70
14155a6b4a
15cc6e985
hex8b61ebe

146153150 has 48 divisors (see below), whose sum is σ = 319385808. Its totient is φ = 49056000.

The previous prime is 146153143. The next prime is 146153153. The reversal of 146153150 is 51351641.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146153153) 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, 3071 + ... + 17370.

It is an arithmetic number, because the mean of its divisors is an integer number (6653871).

Almost surely, 2146153150 is an apocalyptic number.

146153150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146153150 is an abundant number, since it is smaller than the sum of its proper divisors (173232658).

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

146153150 is a wasteful number, since it uses less digits than its factorization.

146153150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20477 (or 20472 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 146153150 is about 12089.3817046200. The cubic root of 146153150 is about 526.7477954567.

The spelling of 146153150 in words is "one hundred forty-six million, one hundred fifty-three thousand, one hundred fifty".

Divisors: 1 2 5 10 11 13 22 25 26 50 55 65 110 130 143 275 286 325 550 650 715 1430 3575 7150 20441 40882 102205 204410 224851 265733 449702 511025 531466 1022050 1124255 1328665 2248510 2657330 2923063 5621275 5846126 6643325 11242550 13286650 14615315 29230630 73076575 146153150