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870461010 = 2325137227311
BaseRepresentation
bin110011111000100…
…010111001010010
32020122221000000200
4303320202321102
53240314223020
6222213000030
730366540126
oct6370427122
92218830020
10870461010
11407397271
12203623016
1310b4534b3
148386b586
1551644590
hex33e22e52

870461010 has 96 divisors (see below), whose sum is σ = 2297123712. Its totient is φ = 228675840.

The previous prime is 870460999. The next prime is 870461051. The reversal of 870461010 is 10164078.

It is a happy number.

870461010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2798755 + ... + 2799065.

It is an arithmetic number, because the mean of its divisors is an integer number (23928372).

Almost surely, 2870461010 is an apocalyptic number.

870461010 is the 18660-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870461010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148561856).

870461010 is an abundant number, since it is smaller than the sum of its proper divisors (1426662702).

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

870461010 is a wasteful number, since it uses less digits than its factorization.

870461010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 870461010 is about 29503.5762239089. The cubic root of 870461010 is about 954.8088613569.

The spelling of 870461010 in words is "eight hundred seventy million, four hundred sixty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 227 274 311 411 454 622 681 685 822 933 1135 1233 1362 1370 1555 1866 2043 2055 2270 2466 2799 3110 3405 4086 4110 4665 5598 6165 6810 9330 10215 12330 13995 20430 27990 31099 42607 62198 70597 85214 93297 127821 141194 155495 186594 211791 213035 255642 279891 310990 352985 383463 423582 426070 466485 559782 635373 639105 705970 766926 932970 1058955 1270746 1278210 1399455 1917315 2117910 2798910 3176865 3834630 6353730 9671789 19343578 29015367 48358945 58030734 87046101 96717890 145076835 174092202 290153670 435230505 870461010