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253401708120 = 233511346955339
BaseRepresentation
bin1110101111111111101…
…0110011011001011000
3220020002000000112101220
43223333322303121120
513122431314124440
6312224450012040
724210346660101
oct3537772633130
9806060015356
10253401708120
1198515726980
124113b877020
131ab84a62332
14c39c5053a8
1568d17ac8d0
hex3affeb3658

253401708120 has 128 divisors (see below), whose sum is σ = 829568736000. Its totient is φ = 61411898880.

The previous prime is 253401708101. The next prime is 253401708167. The reversal of 253401708120 is 21807104352.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4551411 + ... + 4606749.

It is an arithmetic number, because the mean of its divisors is an integer number (6481005750).

Almost surely, 2253401708120 is an apocalyptic number.

253401708120 is a gapful number since it is divisible by the number (20) 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 253401708120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414784368000).

253401708120 is an abundant number, since it is smaller than the sum of its proper divisors (576167027880).

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

253401708120 is a wasteful number, since it uses less digits than its factorization.

253401708120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58833 (or 58829 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 253401708120 in words is "two hundred fifty-three billion, four hundred one million, seven hundred eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3469 6938 10407 13876 17345 20814 27752 34690 38159 41628 52035 55339 69380 76318 83256 104070 110678 114477 138760 152636 166017 190795 208140 221356 228954 276695 305272 332034 381590 416280 442712 457908 553390 572385 608729 664068 763180 830085 915816 1106780 1144770 1217458 1328136 1526360 1660170 1826187 2213560 2289540 2434916 3043645 3320340 3652374 4579080 4869832 6087290 6640680 7304748 9130935 12174580 14609496 18261870 24349160 36523740 73047480 191970991 383941982 575912973 767883964 959854955 1151825946 1535767928 1919709910 2111680901 2303651892 2879564865 3839419820 4223361802 4607303784 5759129730 6335042703 7678839640 8446723604 10558404505 11518259460 12670085406 16893447208 21116809010 23036518920 25340170812 31675213515 42233618020 50680341624 63350427030 84467236040 126700854060 253401708120