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31149440 = 275717409
BaseRepresentation
bin111011011010…
…0110110000000
32011121112222222
41312310312000
530433240230
63031350212
7525523460
oct166646600
964545888
1031149440
1116646043
12a522368
1365b822a
1441cbba0
152b046e5
hex1db4d80

31149440 has 128 divisors (see below), whose sum is σ = 90331200. Its totient is φ = 10027008.

The previous prime is 31149431. The next prime is 31149473. The reversal of 31149440 is 4494113.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×311494402 = 1940575224627200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75956 + ... + 76364.

Almost surely, 231149440 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 31149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45165600).

31149440 is an abundant number, since it is smaller than the sum of its proper divisors (59181760).

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

31149440 is a wasteful number, since it uses less digits than its factorization.

31149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 31149440 is about 5581.1683364686. The cubic root of 31149440 is about 314.6420389931.

The spelling of 31149440 in words is "thirty-one million, one hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 272 280 320 340 409 448 476 544 560 595 640 680 818 896 952 1088 1120 1190 1360 1636 1904 2045 2176 2240 2380 2720 2863 3272 3808 4090 4480 4760 5440 5726 6544 6953 7616 8180 9520 10880 11452 13088 13906 14315 15232 16360 19040 22904 26176 27812 28630 32720 34765 38080 45808 48671 52352 55624 57260 65440 69530 76160 91616 97342 111248 114520 130880 139060 183232 194684 222496 229040 243355 261760 278120 366464 389368 444992 458080 486710 556240 778736 889984 916160 973420 1112480 1557472 1832320 1946840 2224960 3114944 3893680 4449920 6229888 7787360 15574720 31149440