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117014424 = 23337313421
BaseRepresentation
bin1101111100101…
…11111110011000
322011011221121120
412332113332120
5214423430144
615340005240
72620414632
oct676277630
9264157546
10117014424
116006273a
1233230820
131b320007
141177da52
15a415e19
hex6f97f98

117014424 has 64 divisors (see below), whose sum is σ = 302118240. Its totient is φ = 37739520.

The previous prime is 117014423. The next prime is 117014437. The reversal of 117014424 is 424410711.

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

It is a junction number, because it is equal to n+sod(n) for n = 117014394 and 117014403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117014423) 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, 277734 + ... + 278154.

Almost surely, 2117014424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117014424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151059120).

117014424 is an abundant number, since it is smaller than the sum of its proper divisors (185103816).

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

117014424 is a wasteful number, since it uses less digits than its factorization.

117014424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 117014424 is about 10817.3205554795. The cubic root of 117014424 is about 489.1174227988.

The spelling of 117014424 in words is "one hundred seventeen million, fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 313 421 444 626 842 888 939 1252 1263 1684 1878 2504 2526 3368 3756 5052 7512 10104 11581 15577 23162 31154 34743 46324 46731 62308 69486 92648 93462 124616 131773 138972 186924 263546 277944 373848 395319 527092 790638 1054184 1581276 3162552 4875601 9751202 14626803 19502404 29253606 39004808 58507212 117014424