117301920 has 48 divisors (see below), whose sum is σ = 369502560. Its totient is φ = 31280384.

The previous prime is 117301901. The next prime is 117301939. The reversal of 117301920 is 29103711.

It is an interprime number because it is at equal distance from previous prime (117301901) and next prime (117301939).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121710 + ... + 122669.

It is an arithmetic number, because the mean of its divisors is an integer number (7697970).

Almost surely, 2^117301920 is an apocalyptic number.

117301920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117301920 is an abundant number, since it is smaller than the sum of its proper divisors (252200640).

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

117301920 is a wasteful number, since it uses less digits than its factorization.

117301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244397 (or 244389 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 117301920 is about 10830.6010913522. The cubic root of 117301920 is about 489.5176705942.

It can be divided in two parts, 11 and 7301920, that added together give a triangular number (7301931 = T₃₈₂₁).

The spelling of 117301920 in words is "one hundred seventeen million, three hundred one thousand, nine hundred twenty".