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146150660 = 22519715417
BaseRepresentation
bin10001011011000…
…01010100000100
3101012000020000102
420231201110010
5244403310120
622300303232
73423155135
oct1055412404
9335006012
10146150660
1175553177
1240b41b18
1324381aa6
14155a5c8c
15cc6dd75
hex8b61504

146150660 has 48 divisors (see below), whose sum is σ = 327680640. Its totient is φ = 54593280.

The previous prime is 146150657. The next prime is 146150663. The reversal of 146150660 is 66051641.

It is an interprime number because it is at equal distance from previous prime (146150657) and next prime (146150663).

It is not an unprimeable number, because it can be changed into a prime (146150663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24272 + ... + 29688.

It is an arithmetic number, because the mean of its divisors is an integer number (6826680).

Almost surely, 2146150660 is an apocalyptic number.

146150660 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 146150660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163840320).

146150660 is an abundant number, since it is smaller than the sum of its proper divisors (181529980).

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

146150660 is a wasteful number, since it uses less digits than its factorization.

146150660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 146150660 is about 12089.2787212472. The cubic root of 146150660 is about 526.7448040524.

The spelling of 146150660 in words is "one hundred forty-six million, one hundred fifty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 71 76 95 142 190 284 355 380 710 1349 1420 2698 5396 5417 6745 10834 13490 21668 26980 27085 54170 102923 108340 205846 384607 411692 514615 769214 1029230 1538428 1923035 2058460 3846070 7307533 7692140 14615066 29230132 36537665 73075330 146150660