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10887140 = 22511174171
BaseRepresentation
bin101001100001…
…111111100100
3202111010100102
4221201333210
510241342030
61025203232
7161352635
oct51417744
922433312
1010887140
116166740
123790518
1323425c4
14163588c
15e50c45
hexa61fe4

10887140 has 96 divisors (see below), whose sum is σ = 27433728. Its totient is φ = 3584000.

The previous prime is 10887137. The next prime is 10887161. The reversal of 10887140 is 4178801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153305 + ... + 153375.

It is an arithmetic number, because the mean of its divisors is an integer number (285768).

Almost surely, 210887140 is an apocalyptic number.

10887140 is a gapful number since it is divisible by the number (10) 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 10887140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

10887140 is an abundant number, since it is smaller than the sum of its proper divisors (16546588).

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

10887140 is a wasteful number, since it uses less digits than its factorization.

10887140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 10887140 is about 3299.5666382118. The cubic root of 10887140 is about 221.6347916805.

It can be divided in two parts, 1088 and 7140, that added together give a palindrome (8228).

The spelling of 10887140 in words is "ten million, eight hundred eighty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 41 44 55 68 71 82 85 110 142 164 170 187 205 220 284 340 355 374 410 451 697 710 748 781 820 902 935 1207 1394 1420 1562 1804 1870 2255 2414 2788 2911 3124 3485 3740 3905 4510 4828 5822 6035 6970 7667 7810 9020 11644 12070 13277 13940 14555 15334 15620 24140 26554 29110 30668 32021 38335 49487 53108 58220 64042 66385 76670 98974 128084 132770 153340 160105 197948 247435 265540 320210 494870 544357 640420 989740 1088714 2177428 2721785 5443570 10887140