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117352464 = 24373107313
BaseRepresentation
bin1101111111010…
…10100000010000
322011211010022120
412333222200100
5220020234324
615351134240
72623323315
oct677524020
9264733276
10117352464
1160273709
1233374380
131b40ab38
141182ad0c
15a481179
hex6fea810

117352464 has 80 divisors (see below), whose sum is σ = 311176512. Its totient is φ = 38098944.

The previous prime is 117352451. The next prime is 117352481. The reversal of 117352464 is 464253711.

Its product of digits (20160) is a multiple of the sum of its prime factors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374772 + ... + 375084.

Almost surely, 2117352464 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 117352464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155588256).

117352464 is an abundant number, since it is smaller than the sum of its proper divisors (193824048).

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

117352464 is a wasteful number, since it uses less digits than its factorization.

117352464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 117352464 is about 10832.9342285458. The cubic root of 117352464 is about 489.5879696091.

The spelling of 117352464 in words is "one hundred seventeen million, three hundred fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 107 146 214 219 292 313 321 428 438 584 626 642 856 876 939 1168 1252 1284 1712 1752 1878 2504 2568 3504 3756 5008 5136 7512 7811 15024 15622 22849 23433 31244 33491 45698 46866 62488 66982 68547 91396 93732 100473 124976 133964 137094 182792 187464 200946 267928 274188 365584 374928 401892 535856 548376 803784 1096752 1607568 2444843 4889686 7334529 9779372 14669058 19558744 29338116 39117488 58676232 117352464