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117428472 = 233271511543
BaseRepresentation
bin1101111111111…
…01000011111000
322011221222120200
412333331003320
5220030202342
615352522200
72624061030
oct677750370
9264858520
10117428472
1160315827
12333b0360
131b436605
141184a8c0
15a49894c
hex6ffd0f8

117428472 has 96 divisors (see below), whose sum is σ = 366113280. Its totient is φ = 33307200.

The previous prime is 117428471. The next prime is 117428497. The reversal of 117428472 is 274824711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117428471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75333 + ... + 76875.

It is an arithmetic number, because the mean of its divisors is an integer number (3813680).

Almost surely, 2117428472 is an apocalyptic number.

117428472 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 117428472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183056640).

117428472 is an abundant number, since it is smaller than the sum of its proper divisors (248684808).

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

117428472 is a wasteful number, since it uses less digits than its factorization.

117428472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1706 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 117428472 is about 10836.4418514566. The cubic root of 117428472 is about 489.6936471835.

It can be divided in two parts, 1174 and 28472, that added together give a triangular number (29646 = T243).

The spelling of 117428472 in words is "one hundred seventeen million, four hundred twenty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 151 168 252 302 453 504 604 906 1057 1208 1359 1543 1812 2114 2718 3086 3171 3624 4228 4629 5436 6172 6342 8456 9258 9513 10801 10872 12344 12684 13887 18516 19026 21602 25368 27774 32403 37032 38052 43204 55548 64806 76104 86408 97209 111096 129612 194418 232993 259224 388836 465986 698979 777672 931972 1397958 1630951 1863944 2096937 2795916 3261902 4193874 4892853 5591832 6523804 8387748 9785706 13047608 14678559 16775496 19571412 29357118 39142824 58714236 117428472