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2157408 = 253311227
BaseRepresentation
bin1000001110101101100000
311001121102000
420032231200
51023014113
6114124000
724223551
oct10165540
94047360
102157408
111243990
12880600
135a6c96
14402328
152c9373
hex20eb60

2157408 has 96 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 650880.

The previous prime is 2157401. The next prime is 2157413. The reversal of 2157408 is 8047512.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9391 + ... + 9617.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

22157408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2157408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2157408 is an abundant number, since it is smaller than the sum of its proper divisors (4737312).

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

2157408 is a wasteful number, since it uses less digits than its factorization.

2157408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2157408 is about 1468.8117646588. The cubic root of 2157408 is about 129.2143542730.

The spelling of 2157408 in words is "two million, one hundred fifty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 227 264 288 297 352 396 432 454 528 594 681 792 864 908 1056 1188 1362 1584 1816 2043 2376 2497 2724 3168 3632 4086 4752 4994 5448 6129 7264 7491 8172 9504 9988 10896 12258 14982 16344 19976 21792 22473 24516 29964 32688 39952 44946 49032 59928 65376 67419 79904 89892 98064 119856 134838 179784 196128 239712 269676 359568 539352 719136 1078704 2157408