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2136720 = 243529307
BaseRepresentation
bin1000001001101010010000
311000120000210
420021222100
51021333340
6113444120
724106335
oct10115220
94016023
102136720
11122a393
12870640
1359a741
143d898c
152c3180
hex209a90

2136720 has 80 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 548352.

The previous prime is 2136707. The next prime is 2136731. The reversal of 2136720 is 276312.

It is a happy number.

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6807 + ... + 7113.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

22136720 is an apocalyptic number.

2136720 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 2136720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2136720 is an abundant number, since it is smaller than the sum of its proper divisors (4737840).

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

2136720 is a wasteful number, since it uses less digits than its factorization.

2136720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2136720 is about 1461.7523730099. The cubic root of 2136720 is about 128.8000025719.

The spelling of 2136720 in words is "two million, one hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 307 348 435 464 580 614 696 870 921 1160 1228 1392 1535 1740 1842 2320 2456 3070 3480 3684 4605 4912 6140 6960 7368 8903 9210 12280 14736 17806 18420 24560 26709 35612 36840 44515 53418 71224 73680 89030 106836 133545 142448 178060 213672 267090 356120 427344 534180 712240 1068360 2136720