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31407480 = 23335132237
BaseRepresentation
bin111011111001…
…1110101111000
32012002122222000
41313303311320
531020014410
63041101000
7530646666
oct167636570
965078860
1031407480
11168019a5
12a627760
136678810
144257c36
152b55dc0
hex1df3d78

31407480 has 128 divisors (see below), whose sum is σ = 112795200. Its totient is φ = 7727616.

The previous prime is 31407479. The next prime is 31407491. The reversal of 31407480 is 8470413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12922 + ... + 15158.

Almost surely, 231407480 is an apocalyptic number.

31407480 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 31407480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56397600).

31407480 is an abundant number, since it is smaller than the sum of its proper divisors (81387720).

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

31407480 is a wasteful number, since it uses less digits than its factorization.

31407480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 31407480 is about 5604.2376823258. The cubic root of 31407480 is about 315.5084758243.

Adding to 31407480 its reverse (8470413), we get a palindrome (39877893).

The spelling of 31407480 in words is "thirty-one million, four hundred seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2237 2340 2808 3510 4474 4680 6711 7020 8948 11185 13422 14040 17896 20133 22370 26844 29081 33555 40266 44740 53688 58162 60399 67110 80532 87243 89480 100665 116324 120798 134220 145405 161064 174486 201330 232648 241596 261729 268440 290810 301995 348972 402660 436215 483192 523458 581620 603990 697944 785187 805320 872430 1046916 1163240 1207980 1308645 1570374 1744860 2093832 2415960 2617290 3140748 3489720 3925935 5234580 6281496 7851870 10469160 15703740 31407480