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10870488240 = 2435196413719
BaseRepresentation
bin10100001111110111…
…00111110010110000
31001001120202000111120
422013323213302300
5134230321110430
64554400142240
7533244424353
oct120773476260
931046660446
1010870488240
11467911a787
122134607980
131043150181
147519da29a
1543950a610
hex287ee7cb0

10870488240 has 160 divisors (see below), whose sum is σ = 35537011200. Its totient is φ = 2741207040.

The previous prime is 10870488227. The next prime is 10870488269. The reversal of 10870488240 is 4288407801.

It is a junction number, because it is equal to n+sod(n) for n = 10870488192 and 10870488201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2921101 + ... + 2924819.

It is an arithmetic number, because the mean of its divisors is an integer number (222106320).

Almost surely, 210870488240 is an apocalyptic number.

10870488240 is a gapful number since it is divisible by the number (10) 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 10870488240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17768505600).

10870488240 is an abundant number, since it is smaller than the sum of its proper divisors (24666522960).

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

10870488240 is a wasteful number, since it uses less digits than its factorization.

10870488240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The spelling of 10870488240 in words is "ten billion, eight hundred seventy million, four hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 641 760 912 1140 1282 1520 1923 2280 2564 3205 3719 3846 4560 5128 6410 7438 7692 9615 10256 11157 12179 12820 14876 15384 18595 19230 22314 24358 25640 29752 30768 36537 37190 38460 44628 48716 51280 55785 59504 60895 70661 73074 74380 76920 89256 97432 111570 121790 141322 146148 148760 153840 178512 182685 194864 211983 223140 243580 282644 292296 297520 353305 365370 423966 446280 487160 565288 584592 706610 730740 847932 892560 974320 1059915 1130576 1413220 1461480 1695864 2119830 2383879 2826440 2922960 3391728 4239660 4767758 5652880 7151637 8479320 9535516 11919395 14303274 16958640 19071032 23838790 28606548 35758185 38142064 45293701 47677580 57213096 71516370 90587402 95355160 114426192 135881103 143032740 181174804 190710320 226468505 271762206 286065480 362349608 452937010 543524412 572130960 679405515 724699216 905874020 1087048824 1358811030 1811748040 2174097648 2717622060 3623496080 5435244120 10870488240