Search a number
-
+
29951136 = 2532103997
BaseRepresentation
bin111001001000…
…0010010100000
32002100200020100
41302100102200
530131414021
62545542400
7512403045
oct162202240
962320210
1029951136
11159a7806
12a044a00
136288987
143d991cc
152969626
hex1c904a0

29951136 has 36 divisors (see below), whose sum is σ = 85174362. Its totient is φ = 9983616.

The previous prime is 29951123. The next prime is 29951147. The reversal of 29951136 is 63115992.

It can be written as a sum of positive squares in only one way, i.e., 27248400 + 2702736 = 5220^2 + 1644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 29951136.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51711 + ... + 52286.

Almost surely, 229951136 is an apocalyptic number.

It is an amenable number.

29951136 is an abundant number, since it is smaller than the sum of its proper divisors (55223226).

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

29951136 is a wasteful number, since it uses less digits than its factorization.

29951136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104013 (or 104002 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 29951136 is about 5472.7631046849. The cubic root of 29951136 is about 310.5544569083.

The spelling of 29951136 in words is "twenty-nine million, nine hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 103997 207994 311991 415988 623982 831976 935973 1247964 1663952 1871946 2495928 3327904 3743892 4991856 7487784 9983712 14975568 29951136