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116389272 = 23337532473
BaseRepresentation
bin1101110111111…
…11010110011000
322010000012001210
412323333112120
5214243424042
615314343120
72612202216
oct673772630
9263005053
10116389272
115a775a8a
1232b8aaa0
131b1615bc
1411659cb6
15a340a9c
hex6eff598

116389272 has 64 divisors (see below), whose sum is σ = 304598880. Its totient is φ = 37020672.

The previous prime is 116389271. The next prime is 116389289. The reversal of 116389272 is 272983611.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 116389272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116389271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45828 + ... + 48300.

Almost surely, 2116389272 is an apocalyptic number.

116389272 is a gapful number since it is divisible by the number (12) 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 116389272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152299440).

116389272 is an abundant number, since it is smaller than the sum of its proper divisors (188209608).

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

116389272 is a wasteful number, since it uses less digits than its factorization.

116389272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2568 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 116389272 is about 10788.3859775223. The cubic root of 116389272 is about 488.2448269853.

It can be divided in two parts, 11638 and 9272, that added together give a triangular number (20910 = T204).

The spelling of 116389272 in words is "one hundred sixteen million, three hundred eighty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 53 74 106 111 148 159 212 222 296 318 424 444 636 888 1272 1961 2473 3922 4946 5883 7419 7844 9892 11766 14838 15688 19784 23532 29676 47064 59352 91501 131069 183002 262138 274503 366004 393207 524276 549006 732008 786414 1048552 1098012 1572828 2196024 3145656 4849553 9699106 14548659 19398212 29097318 38796424 58194636 116389272