Search a number
-
+
93117696 = 283717321
BaseRepresentation
bin1011000110011…
…01110100000000
320111012212110120
411203031310000
5142314231241
613123500240
72210326110
oct543156400
9214185416
1093117696
1148620781
1227227680
13163a4039
14c51d040
158295666
hex58cdd00

93117696 has 72 divisors (see below), whose sum is σ = 283249344. Its totient is φ = 26603520.

The previous prime is 93117691. The next prime is 93117701. The reversal of 93117696 is 69671139.

It is an interprime number because it is at equal distance from previous prime (93117691) and next prime (93117701).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93117691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3285 + ... + 14036.

Almost surely, 293117696 is an apocalyptic number.

93117696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

93117696 is an abundant number, since it is smaller than the sum of its proper divisors (190131648).

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

93117696 is a wasteful number, since it uses less digits than its factorization.

93117696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17347 (or 17333 counting only the distinct ones).

The product of its digits is 61236, while the sum is 42.

The square root of 93117696 is about 9649.7510848726. The cubic root of 93117696 is about 453.2565344720.

The spelling of 93117696 in words is "ninety-three million, one hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 17321 34642 51963 69284 103926 121247 138568 207852 242494 277136 363741 415704 484988 554272 727482 831408 969976 1108544 1454964 1662816 1939952 2217088 2909928 3325632 3879904 4434176 5819856 6651264 7759808 11639712 13302528 15519616 23279424 31039232 46558848 93117696