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146856645 = 3451327893
BaseRepresentation
bin10001100000011…
…01101011000101
3101020100002110000
420300031223011
5300043403040
622323351513
73432155325
oct1060155305
9336302400
10146856645
1175995631
1241222599
132456b230
141570b285
15cd5d130
hex8c0dac5

146856645 has 40 divisors (see below), whose sum is σ = 283514616. Its totient is φ = 72296064.

The previous prime is 146856637. The next prime is 146856649. The reversal of 146856645 is 546658641.

146856645 is a `hidden beast` number, since 1 + 46 + 8 + 566 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34644996 + 112211649 = 5886^2 + 10593^2 .

It is not a de Polignac number, because 146856645 - 23 = 146856637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 146856645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146856649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8682 + ... + 19211.

Almost surely, 2146856645 is an apocalyptic number.

146856645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146856645 is a deficient number, since it is larger than the sum of its proper divisors (136657971).

146856645 is a wasteful number, since it uses less digits than its factorization.

146856645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27923 (or 27914 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 146856645 is about 12118.4423504013. The cubic root of 146856645 is about 527.5915940467.

The spelling of 146856645 in words is "one hundred forty-six million, eight hundred fifty-six thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 27893 83679 139465 251037 362609 418395 753111 1087827 1255185 1813045 2259333 3263481 3765555 5439135 9790443 11296665 16317405 29371329 48952215 146856645