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2139408 = 243283179
BaseRepresentation
bin1000001010010100010000
311000200201100
420022110100
51021430113
6113504400
724120225
oct10122420
94020640
102139408
111231407
12872100
1359ba2b
143d994c
152c3d73
hex20a510

2139408 has 60 divisors (see below), whose sum is σ = 6093360. Its totient is φ = 700608.

The previous prime is 2139407. The next prime is 2139409. The reversal of 2139408 is 8049312.

It is an interprime number because it is at equal distance from previous prime (2139407) and next prime (2139409).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2139407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11863 + ... + 12041.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

22139408 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 2139408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680).

2139408 is an abundant number, since it is smaller than the sum of its proper divisors (3953952).

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

2139408 is a wasteful number, since it uses less digits than its factorization.

2139408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2139408 is about 1462.6715284027. The cubic root of 2139408 is about 128.8539901992.

The spelling of 2139408 in words is "two million, one hundred thirty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 179 249 332 358 498 537 664 716 747 996 1074 1328 1432 1494 1611 1992 2148 2864 2988 3222 3984 4296 5976 6444 8592 11952 12888 14857 25776 29714 44571 59428 89142 118856 133713 178284 237712 267426 356568 534852 713136 1069704 2139408