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2151262720 = 2955914243
BaseRepresentation
bin1000000000111001…
…1010101000000000
312112220222110200001
42000032122220000
513401210401340
6553245005344
7104211300655
oct20016325000
95486873601
102151262720
11a04371582
12500553854
132838c8c29
141659d1c2c
15c8ce129a
hex8039aa00

2151262720 has 80 divisors (see below), whose sum is σ = 5245780320. Its totient is φ = 845860864.

The previous prime is 2151262691. The next prime is 2151262741. The reversal of 2151262720 is 272621512.

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

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, 143919 + ... + 158161.

It is an arithmetic number, because the mean of its divisors is an integer number (65572254).

Almost surely, 22151262720 is an apocalyptic number.

2151262720 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 2151262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622890160).

2151262720 is an abundant number, since it is smaller than the sum of its proper divisors (3094517600).

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

2151262720 is an equidigital number, since it uses as much as digits as its factorization.

2151262720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14325 (or 14309 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 2151262720 is about 46381.7067387564. The cubic root of 2151262720 is about 1290.9155049966.

The spelling of 2151262720 in words is "two billion, one hundred fifty-one million, two hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 256 295 320 472 512 590 640 944 1180 1280 1888 2360 2560 3776 4720 7552 9440 14243 15104 18880 28486 30208 37760 56972 71215 75520 113944 142430 151040 227888 284860 455776 569720 840337 911552 1139440 1680674 1823104 2278880 3361348 3646208 4201685 4557760 6722696 7292416 8403370 9115520 13445392 16806740 18231040 26890784 33613480 36462080 53781568 67226960 107563136 134453920 215126272 268907840 430252544 537815680 1075631360 2151262720