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401402160 = 24325797057
BaseRepresentation
bin10111111011001…
…110100100110000
31000222022100020200
4113323032210300
51310224332120
6103455235200
712642601455
oct2773164460
91028270220
10401402160
11196643425
12b2518b00
1365212893
143b44b82c
152538de90
hex17ece930

401402160 has 120 divisors (see below), whose sum is σ = 1365299520. Its totient is φ = 105670656.

The previous prime is 401402149. The next prime is 401402161. The reversal of 401402160 is 61204104.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4014021602 = 322247388105331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (401402161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53352 + ... + 60408.

It is an arithmetic number, because the mean of its divisors is an integer number (11377496).

Almost surely, 2401402160 is an apocalyptic number.

401402160 is a gapful number since it is divisible by the number (40) 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 401402160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682649760).

401402160 is an abundant number, since it is smaller than the sum of its proper divisors (963897360).

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

401402160 is a wasteful number, since it uses less digits than its factorization.

401402160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7155 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 401402160 is about 20035.0233341516. The cubic root of 401402160 is about 737.6662293114. Note that the first 3 decimals are identical.

Adding to 401402160 its reverse (61204104), we get a palindrome (462606264).

The spelling of 401402160 in words is "four hundred one million, four hundred two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1580 1896 2370 2844 3160 3555 3792 4740 5688 6320 7057 7110 9480 11376 14114 14220 18960 21171 28228 28440 35285 42342 56456 56880 63513 70570 84684 105855 112912 127026 141140 169368 211710 254052 282280 317565 338736 423420 508104 557503 564560 635130 846840 1016208 1115006 1270260 1672509 1693680 2230012 2540520 2787515 3345018 4460024 5017527 5081040 5575030 6690036 8362545 8920048 10035054 11150060 13380072 16725090 20070108 22300120 25087635 26760144 33450180 40140216 44600240 50175270 66900360 80280432 100350540 133800720 200701080 401402160