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2156362440 = 2335191078839
BaseRepresentation
bin1000000010000111…
…0111101011001000
312120021120120011120
42000201313223020
513404012044230
6553550155240
7104302530651
oct20041675310
95507516146
102156362440
11a07235021
125021b2b20
1328499320b
1416655c528
15c949c310
hex80877ac8

2156362440 has 128 divisors (see below), whose sum is σ = 6873984000. Its totient is φ = 539612928.

The previous prime is 2156362427. The next prime is 2156362441. The reversal of 2156362440 is 442636512.

It is not an unprimeable number, because it can be changed into a prime (2156362441) by changing a digit.

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, 239541 + ... + 248379.

It is an arithmetic number, because the mean of its divisors is an integer number (53703000).

Almost surely, 22156362440 is an apocalyptic number.

2156362440 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 2156362440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436992000).

2156362440 is an abundant number, since it is smaller than the sum of its proper divisors (4717621560).

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

2156362440 is a wasteful number, since it uses less digits than its factorization.

2156362440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8979 (or 8975 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2156362440 is about 46436.6497499550. The cubic root of 2156362440 is about 1291.9347687579.

Adding to 2156362440 its reverse (442636512), we get a palindrome (2598998952).

The spelling of 2156362440 in words is "two billion, one hundred fifty-six million, three hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 107 114 120 152 190 214 228 285 321 380 428 456 535 570 642 760 856 1070 1140 1284 1605 2033 2140 2280 2568 3210 4066 4280 6099 6420 8132 8839 10165 12198 12840 16264 17678 20330 24396 26517 30495 35356 40660 44195 48792 53034 60990 70712 81320 88390 106068 121980 132585 167941 176780 212136 243960 265170 335882 353560 503823 530340 671764 839705 945773 1007646 1060680 1343528 1679410 1891546 2015292 2519115 2837319 3358820 3783092 4030584 4728865 5038230 5674638 6717640 7566184 9457730 10076460 11349276 14186595 17969687 18915460 20152920 22698552 28373190 35939374 37830920 53909061 56746380 71878748 89848435 107818122 113492760 143757496 179696870 215636244 269545305 359393740 431272488 539090610 718787480 1078181220 2156362440