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31485090 = 23571319607
BaseRepresentation
bin111100000011…
…0110010100010
32012020121102110
41320012302202
531030010330
63042500150
7531422160
oct170066242
965217373
1031485090
111685523a
12a664656
1366a4c40
144278230
152b6ddb0
hex1e06ca2

31485090 has 128 divisors (see below), whose sum is σ = 98058240. Its totient is φ = 6283008.

The previous prime is 31485079. The next prime is 31485101. The reversal of 31485090 is 9058413.

It is an interprime number because it is at equal distance from previous prime (31485079) and next prime (31485101).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51567 + ... + 52173.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 231485090 is an apocalyptic number.

31485090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31485090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49029120).

31485090 is an abundant number, since it is smaller than the sum of its proper divisors (66573150).

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

31485090 is a wasteful number, since it uses less digits than its factorization.

31485090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 31485090 is about 5611.1576345706. The cubic root of 31485090 is about 315.7681429598.

The spelling of 31485090 in words is "thirty-one million, four hundred eighty-five thousand, ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 42 57 65 70 78 91 95 105 114 130 133 182 190 195 210 247 266 273 285 390 399 455 494 546 570 607 665 741 798 910 1214 1235 1330 1365 1482 1729 1821 1995 2470 2730 3035 3458 3642 3705 3990 4249 5187 6070 7410 7891 8498 8645 9105 10374 11533 12747 15782 17290 18210 21245 23066 23673 25494 25935 34599 39455 42490 47346 51870 55237 57665 63735 69198 78910 80731 110474 115330 118365 127470 149929 161462 165711 172995 236730 242193 276185 299858 331422 345990 403655 449787 484386 552370 749645 807310 828555 899574 1049503 1210965 1499290 1657110 2099006 2248935 2421930 3148509 4497870 5247515 6297018 10495030 15742545 31485090