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117958470 = 23573311697
BaseRepresentation
bin1110000011111…
…10011101000110
322012221220121020
413001332131012
5220144132340
615412132010
72631426150
oct701763506
9265856536
10117958470
1160647a43
1233607006
131b590916
1411947ad0
15a5509d0
hex707e746

117958470 has 64 divisors (see below), whose sum is σ = 324711936. Its totient is φ = 26864640.

The previous prime is 117958469. The next prime is 117958471. The reversal of 117958470 is 74859711.

It is an interprime number because it is at equal distance from previous prime (117958469) and next prime (117958471).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117958471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68662 + ... + 70358.

It is an arithmetic number, because the mean of its divisors is an integer number (5073624).

Almost surely, 2117958470 is an apocalyptic number.

117958470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117958470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162355968).

117958470 is an abundant number, since it is smaller than the sum of its proper divisors (206753466).

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

117958470 is a wasteful number, since it uses less digits than its factorization.

117958470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045.

The product of its (nonzero) digits is 70560, while the sum is 42.

The square root of 117958470 is about 10860.8687497824. The cubic root of 117958470 is about 490.4292642610.

The spelling of 117958470 in words is "one hundred seventeen million, nine hundred fifty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 331 662 993 1655 1697 1986 2317 3310 3394 4634 4965 5091 6951 8485 9930 10182 11585 11879 13902 16970 23170 23758 25455 34755 35637 50910 59395 69510 71274 118790 178185 356370 561707 1123414 1685121 2808535 3370242 3931949 5617070 7863898 8425605 11795847 16851210 19659745 23591694 39319490 58979235 117958470