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113880949 = 7213317379
BaseRepresentation
bin1101100100110…
…10111101110101
321221021202021221
412302122331311
5213123142244
615144510341
72551654300
oct662327565
9257252257
10113880949
1159312496
123217b3b1
131a7939a0
14111a5b37
159ee7784
hex6c9af75

113880949 has 48 divisors (see below), whose sum is σ = 151173120. Its totient is φ = 84913920.

The previous prime is 113880937. The next prime is 113880967. The reversal of 113880949 is 949088311.

It is a de Polignac number, because none of the positive numbers 2k-113880949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113880989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1441492 + ... + 1441570.

It is an arithmetic number, because the mean of its divisors is an integer number (3149440).

Almost surely, 2113880949 is an apocalyptic number.

It is an amenable number.

113880949 is a deficient number, since it is larger than the sum of its proper divisors (37292171).

113880949 is a wasteful number, since it uses less digits than its factorization.

113880949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 113880949 is about 10671.5017218759. The cubic root of 113880949 is about 484.7119116680.

The spelling of 113880949 in words is "one hundred thirteen million, eight hundred eighty thousand, nine hundred forty-nine".

Divisors: 1 7 13 31 49 73 79 91 217 403 511 553 637 949 1027 1519 2263 2449 2821 3577 3871 5767 6643 7189 15841 17143 19747 29419 31837 40369 46501 50323 74971 110887 120001 178777 205933 222859 282583 524797 1251439 1441531 1560013 2324101 3673579 8760073 16268707 113880949