Search a number
-
+
29901120 = 263531147
BaseRepresentation
bin111001000010…
…0000101000000
32002021010121220
41302010011000
530123313440
62544515040
7512104164
oct162040500
962233556
1029901120
1115973177
12a01ba80
13626bc92
143d84ca4
1529598d0
hex1c84140

29901120 has 56 divisors (see below), whose sum is σ = 94939104. Its totient is φ = 7973376.

The previous prime is 29901107. The next prime is 29901139. The reversal of 29901120 is 2110992.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14614 + ... + 16533.

Almost surely, 229901120 is an apocalyptic number.

29901120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29901120 is an abundant number, since it is smaller than the sum of its proper divisors (65037984).

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

29901120 is a wasteful number, since it uses less digits than its factorization.

29901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31167 (or 31157 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 29901120 is about 5468.1916572117. The cubic root of 29901120 is about 310.3814935649.

The spelling of 29901120 in words is "twenty-nine million, nine hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 31147 62294 93441 124588 155735 186882 249176 311470 373764 467205 498352 622940 747528 934410 996704 1245880 1495056 1868820 1993408 2491760 2990112 3737640 4983520 5980224 7475280 9967040 14950560 29901120