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2372293120 = 2956713831
BaseRepresentation
bin1000110101100110…
…0101001000000000
320010022212222101011
42031121211020000
514324301334440
61031222250304
7112534105321
oct21531451000
96108788334
102372293120
111008108a2a
12562586994
132ba637652
141870ca448
15dd4019ea
hex8d665200

2372293120 has 80 divisors (see below), whose sum is σ = 5773255488. Its totient is φ = 934686720.

The previous prime is 2372293097. The next prime is 2372293141. The reversal of 2372293120 is 213922732.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 164605 + ... + 178435.

Almost surely, 22372293120 is an apocalyptic number.

2372293120 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 2372293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886627744).

2372293120 is an abundant number, since it is smaller than the sum of its proper divisors (3400962368).

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

2372293120 is an equidigital number, since it uses as much as digits as its factorization.

2372293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13921 (or 13905 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 2372293120 is about 48706.1918035069. The cubic root of 2372293120 is about 1333.6937514542.

The spelling of 2372293120 in words is "two billion, three hundred seventy-two million, two hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 512 536 640 670 1072 1280 1340 2144 2560 2680 4288 5360 8576 10720 13831 17152 21440 27662 34304 42880 55324 69155 85760 110648 138310 171520 221296 276620 442592 553240 885184 926677 1106480 1770368 1853354 2212960 3540736 3706708 4425920 4633385 7081472 7413416 8851840 9266770 14826832 17703680 18533540 29653664 35407360 37067080 59307328 74134160 118614656 148268320 237229312 296536640 474458624 593073280 1186146560 2372293120