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2929398120 = 23325116167181
BaseRepresentation
bin1010111010011011…
…0001000101101000
321120011011211202200
42232212301011220
521444411214440
61202403100200
7132410321205
oct25646610550
97504154680
102929398120
111273629190
12699071660
13378b94a8c
141db0a8cac
15122299c30
hexae9b1168

2929398120 has 384 divisors, whose sum is σ = 10773060480. Its totient is φ = 684288000.

The previous prime is 2929398089. The next prime is 2929398137. The reversal of 2929398120 is 218939292.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16184430 + ... + 16184610.

It is an arithmetic number, because the mean of its divisors is an integer number (28054845).

Almost surely, 22929398120 is an apocalyptic number.

2929398120 is a gapful number since it is divisible by the number (20) 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 2929398120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386530240).

2929398120 is an abundant number, since it is smaller than the sum of its proper divisors (7843662360).

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

2929398120 is a wasteful number, since it uses less digits than its factorization.

2929398120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2929398120 is about 54123.9144925790. The cubic root of 2929398120 is about 1430.8456894758.

The spelling of 2929398120 in words is "two billion, nine hundred twenty-nine million, three hundred ninety-eight thousand, one hundred twenty".