Search a number
-
+
117593400 = 23352375297
BaseRepresentation
bin1110000001001…
…01010100111000
322012021100211010
413000211110320
5220100442100
615400233520
72625345621
oct700452470
9265240733
10117593400
1160418731
123346b8a0
131b4936c2
1411890a48
15a4cc750
hex7025538

117593400 has 96 divisors (see below), whose sum is σ = 374462640. Its totient is φ = 30504960.

The previous prime is 117593387. The next prime is 117593407. The reversal of 117593400 is 4395711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117593407) 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 23 ways as a sum of consecutive naturals, for example, 19552 + ... + 24848.

Almost surely, 2117593400 is an apocalyptic number.

117593400 is a gapful number since it is divisible by the number (10) 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 117593400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187231320).

117593400 is an abundant number, since it is smaller than the sum of its proper divisors (256869240).

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

117593400 is a wasteful number, since it uses less digits than its factorization.

117593400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 117593400 is about 10844.0490592767. The cubic root of 117593400 is about 489.9227977773.

The spelling of 117593400 in words is "one hundred seventeen million, five hundred ninety-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5297 5550 7400 10594 11100 15891 21188 22200 26485 31782 42376 52970 63564 79455 105940 127128 132425 158910 195989 211880 264850 317820 391978 397275 529700 587967 635640 783956 794550 979945 1059400 1175934 1567912 1589100 1959890 2351868 2939835 3178200 3919780 4703736 4899725 5879670 7839560 9799450 11759340 14699175 19598900 23518680 29398350 39197800 58796700 117593400