Search a number
-
+
2139552 = 2532171923
BaseRepresentation
bin1000001010010110100000
311000200220200
420022112200
51021431202
6113505200
724120522
oct10122640
94020820
102139552
111231528
12872200
1359bb0c
143d9a12
152c3e1c
hex20a5a0

2139552 has 144 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 608256.

The previous prime is 2139541. The next prime is 2139563. The reversal of 2139552 is 2559312.

It is an interprime number because it is at equal distance from previous prime (2139541) and next prime (2139563).

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (2700) is a multiple of the sum of its prime factors (75).

It is a nialpdrome in base 12.

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 23 ways as a sum of consecutive naturals, for example, 93013 + ... + 93035.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

22139552 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 2139552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2139552 is an abundant number, since it is smaller than the sum of its proper divisors (4936608).

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

2139552 is a wasteful number, since it uses less digits than its factorization.

2139552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 64 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 2139552 is about 1462.7207525704. The cubic root of 2139552 is about 128.8568811170.

The spelling of 2139552 in words is "two million, one hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 23 24 32 34 36 38 46 48 51 57 68 69 72 76 92 96 102 114 136 138 144 152 153 171 184 204 207 228 272 276 288 304 306 323 342 368 391 408 414 437 456 544 552 608 612 646 684 736 782 816 828 874 912 969 1104 1173 1224 1292 1311 1368 1564 1632 1656 1748 1824 1938 2208 2346 2448 2584 2622 2736 2907 3128 3312 3496 3519 3876 3933 4692 4896 5168 5244 5472 5814 6256 6624 6992 7038 7429 7752 7866 9384 10336 10488 11628 12512 13984 14076 14858 15504 15732 18768 20976 22287 23256 28152 29716 31008 31464 37536 41952 44574 46512 56304 59432 62928 66861 89148 93024 112608 118864 125856 133722 178296 237728 267444 356592 534888 713184 1069776 2139552