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117020448 = 2532616661
BaseRepresentation
bin1101111100110…
…01011100100000
322011012020212200
412332121130200
5214424123243
615340053200
72620441326
oct676313440
9264166780
10117020448
1160067216
1233234200
131b32298c
1411781d16
15a417ad3
hex6f99720

117020448 has 72 divisors (see below), whose sum is σ = 338283036. Its totient is φ = 38361600.

The previous prime is 117020447. The next prime is 117020461. The reversal of 117020448 is 844020711.

It can be written as a sum of positive squares in 2 ways, for example, as 116899344 + 121104 = 10812^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (117020441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14238 + ... + 20898.

Almost surely, 2117020448 is an apocalyptic number.

117020448 is a gapful number since it is divisible by the number (18) 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 117020448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169141518).

117020448 is an abundant number, since it is smaller than the sum of its proper divisors (221262588).

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

117020448 is a wasteful number, since it uses less digits than its factorization.

117020448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6738 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 117020448 is about 10817.5989942316. The cubic root of 117020448 is about 489.1258160455.

The spelling of 117020448 in words is "one hundred seventeen million, twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 6661 8784 13322 17568 19983 26644 39966 53288 59949 79932 106576 119898 159864 213152 239796 319728 406321 479592 639456 812642 959184 1218963 1625284 1918368 2437926 3250568 3656889 4875852 6501136 7313778 9751704 13002272 14627556 19503408 29255112 39006816 58510224 117020448