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29750136 = 23313177179
BaseRepresentation
bin111000101111…
…1001101111000
32001222110111220
41301133031320
530104001021
62541352040
7510605043
oct161371570
961873456
1029750136
111587a799
129b68620
136218340
143d45c5a
152929cc6
hex1c5f378

29750136 has 128 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 8386560.

The previous prime is 29750129. The next prime is 29750137. The reversal of 29750136 is 63105792.

29750136 = T123 + T124 + ... + T564.

It is a junction number, because it is equal to n+sod(n) for n = 29750097 and 29750106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29750137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376545 + ... + 376623.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 229750136 is an apocalyptic number.

29750136 is a gapful number since it is divisible by the number (26) 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 29750136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

29750136 is an abundant number, since it is smaller than the sum of its proper divisors (57341064).

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

29750136 is a wasteful number, since it uses less digits than its factorization.

29750136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 29750136 is about 5454.3685244032. The cubic root of 29750136 is about 309.8581939005.

The spelling of 29750136 in words is "twenty-nine million, seven hundred fifty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 71 78 79 102 104 136 142 156 158 204 213 221 237 284 312 316 408 426 442 474 568 632 663 852 884 923 948 1027 1207 1326 1343 1704 1768 1846 1896 2054 2414 2652 2686 2769 3081 3621 3692 4029 4108 4828 5304 5372 5538 5609 6162 7242 7384 8058 8216 9656 10744 11076 11218 12324 14484 15691 16116 16827 17459 22152 22436 24648 28968 31382 32232 33654 34918 44872 47073 52377 62764 67308 69836 72917 94146 95353 104754 125528 134616 139672 145834 188292 190706 209508 218751 286059 291668 376584 381412 419016 437502 572118 583336 762824 875004 1144236 1239589 1750008 2288472 2479178 3718767 4958356 7437534 9916712 14875068 29750136