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31144080 = 24351147251
BaseRepresentation
bin111011011001…
…1100010010000
32011121021122110
41312303202100
530433102310
63031305320
7525502032
oct166634220
964537573
1031144080
1116642010
12a51b240
1365b5966
1441c9c52
152b02d20
hex1db3890

31144080 has 160 divisors (see below), whose sum is σ = 107993088. Its totient is φ = 7360000.

The previous prime is 31144049. The next prime is 31144103. The reversal of 31144080 is 8044113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123955 + ... + 124205.

Almost surely, 231144080 is an apocalyptic number.

31144080 is a gapful number since it is divisible by the number (30) 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 31144080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53996544).

31144080 is an abundant number, since it is smaller than the sum of its proper divisors (76849008).

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

31144080 is a wasteful number, since it uses less digits than its factorization.

31144080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 31144080 is about 5580.6881296127. The cubic root of 31144080 is about 314.6239907492.

Adding to 31144080 its reverse (8044113), we get a palindrome (39188193).

The spelling of 31144080 in words is "thirty-one million, one hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 47 48 55 60 66 80 88 94 110 120 132 141 165 176 188 220 235 240 251 264 282 330 376 440 470 502 517 528 564 660 705 752 753 880 940 1004 1034 1128 1255 1320 1410 1506 1551 1880 2008 2068 2256 2510 2585 2640 2761 2820 3012 3102 3760 3765 4016 4136 5020 5170 5522 5640 6024 6204 7530 7755 8272 8283 10040 10340 11044 11280 11797 12048 12408 13805 15060 15510 16566 20080 20680 22088 23594 24816 27610 30120 31020 33132 35391 41360 41415 44176 47188 55220 58985 60240 62040 66264 70782 82830 94376 110440 117970 124080 129767 132528 141564 165660 176955 188752 220880 235940 259534 283128 331320 353910 389301 471880 519068 566256 648835 662640 707820 778602 943760 1038136 1297670 1415640 1557204 1946505 2076272 2595340 2831280 3114408 3893010 5190680 6228816 7786020 10381360 15572040 31144080