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864150420 = 223573122141
BaseRepresentation
bin110011100000011…
…110001110010100
32020020001101112010
4303200132032110
53232210303140
6221425424220
730262104660
oct6340361624
92206041463
10864150420
11403877001
1220149b070
1310a054013
1482aa78a0
1550ce9880
hex3381e394

864150420 has 144 divisors (see below), whose sum is σ = 2858696064. Its totient is φ = 191059200.

The previous prime is 864150407. The next prime is 864150499. The reversal of 864150420 is 24051468.

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

It is a congruent number.

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, 402550 + ... + 404690.

It is an arithmetic number, because the mean of its divisors is an integer number (19852056).

Almost surely, 2864150420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864150420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429348032).

864150420 is an abundant number, since it is smaller than the sum of its proper divisors (1994545644).

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

864150420 is a wasteful number, since it uses less digits than its factorization.

864150420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 864150420 is about 29396.4354982028. The cubic root of 864150420 is about 952.4959003964.

The spelling of 864150420 in words is "eight hundred sixty-four million, one hundred fifty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 961 1085 1302 1860 1922 2141 2170 2604 2883 3255 3844 4282 4340 4805 5766 6423 6510 6727 8564 9610 10705 11532 12846 13020 13454 14415 14987 19220 20181 21410 25692 26908 28830 29974 32115 33635 40362 42820 44961 57660 59948 64230 66371 67270 74935 80724 89922 100905 128460 132742 134540 149870 179844 199113 201810 224805 265484 299740 331855 398226 403620 449610 464597 663710 796452 899220 929194 995565 1327420 1393791 1858388 1991130 2057501 2322985 2787582 3982260 4115002 4645970 5575164 6172503 6968955 8230004 9291940 10287505 12345006 13937910 14402507 20575010 24690012 27875820 28805014 30862515 41150020 43207521 57610028 61725030 72012535 86415042 123450060 144025070 172830084 216037605 288050140 432075210 864150420