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1087070880 = 25357246219
BaseRepresentation
bin100000011001011…
…0110001010100000
32210202111220220110
41000302312022200
54211242232010
6255511411320
735636643600
oct10062661240
92722456813
101087070880
11508694495
12264083b40
131442a4b0c
14a4534c00
1565680120
hex40cb62a0

1087070880 has 144 divisors (see below), whose sum is σ = 3983424480. Its totient is φ = 248467968.

The previous prime is 1087070879. The next prime is 1087070891. The reversal of 1087070880 is 880707801.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 411 + ... + 46629.

It is an arithmetic number, because the mean of its divisors is an integer number (27662670).

Almost surely, 21087070880 is an apocalyptic number.

1087070880 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 1087070880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991712240).

1087070880 is an abundant number, since it is smaller than the sum of its proper divisors (2896353600).

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

1087070880 is a wasteful number, since it uses less digits than its factorization.

1087070880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46251 (or 46236 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 39.

The square root of 1087070880 is about 32970.7579530711. The cubic root of 1087070880 is about 1028.2197797035.

The spelling of 1087070880 in words is "one billion, eighty-seven million, seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520 46219 92438 138657 184876 231095 277314 323533 369752 462190 554628 647066 693285 739504 924380 970599 1109256 1294132 1386570 1479008 1617665 1848760 1941198 2218512 2264731 2588264 2773140 3235330 3697520 3882396 4437024 4529462 4852995 5176528 5546280 6470660 6794193 7395040 7764792 9058924 9705990 10353056 11092560 11323655 12941320 13588386 15529584 18117848 19411980 22185120 22647310 25882640 27176772 31059168 33970965 36235696 38823960 45294620 51765280 54353544 67941930 72471392 77647920 90589240 108707088 135883860 155295840 181178480 217414176 271767720 362356960 543535440 1087070880