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146983936 = 2101113049
BaseRepresentation
bin10001100001011…
…00110000000000
3101020120120001111
420300230300000
5300111441221
622330213104
73433225411
oct1060546000
9336516044
10146983936
1175a72230
1241284194
13245b4158
1415741808
15cd85be1
hex8c2cc00

146983936 has 44 divisors (see below), whose sum is σ = 320560200. Its totient is φ = 66805760.

The previous prime is 146983909. The next prime is 146983937. The reversal of 146983936 is 639389641.

It is a tau number, because it is divible by the number of its divisors (44).

It is a self number, because there is not a number n which added to its sum of digits gives 146983936.

It is not an unprimeable number, because it can be changed into a prime (146983937) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4740 + ... + 17788.

Almost surely, 2146983936 is an apocalyptic number.

146983936 is a gapful number since it is divisible by the number (16) 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 146983936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160280100).

146983936 is an abundant number, since it is smaller than the sum of its proper divisors (173576264).

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

146983936 is a wasteful number, since it uses less digits than its factorization.

146983936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13080 (or 13062 counting only the distinct ones).

The product of its digits is 839808, while the sum is 49.

The square root of 146983936 is about 12123.6931666881. The cubic root of 146983936 is about 527.7439836271.

The spelling of 146983936 in words is "one hundred forty-six million, nine hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 13049 26098 52196 104392 143539 208784 287078 417568 574156 835136 1148312 1670272 2296624 3340544 4593248 6681088 9186496 13362176 18372992 36745984 73491968 146983936