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401994180 = 2232571092927
BaseRepresentation
bin10111111101011…
…111000111000100
31001000102102100100
4113331133013010
51310402303210
6103520044100
712650615460
oct2775370704
91030372310
10401994180
11196a081a5
12b2763630
136538c1a3
143b5634a0
15254595c0
hex17f5f1c4

401994180 has 144 divisors (see below), whose sum is σ = 1406845440. Its totient is φ = 91010304.

The previous prime is 401994167. The next prime is 401994181. The reversal of 401994180 is 81499104.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (401994181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135877 + ... + 138803.

It is an arithmetic number, because the mean of its divisors is an integer number (9769760).

Almost surely, 2401994180 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 401994180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703422720).

401994180 is an abundant number, since it is smaller than the sum of its proper divisors (1004851260).

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

401994180 is a wasteful number, since it uses less digits than its factorization.

401994180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 401994180 is about 20049.7925176297. The cubic root of 401994180 is about 738.0287075444.

The spelling of 401994180 in words is "four hundred one million, nine hundred ninety-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 109 126 140 180 210 218 252 315 327 420 436 545 630 654 763 981 1090 1260 1308 1526 1635 1962 2180 2289 2927 3052 3270 3815 3924 4578 4905 5854 6540 6867 7630 8781 9156 9810 11445 11708 13734 14635 15260 17562 19620 20489 22890 26343 27468 29270 34335 35124 40978 43905 45780 52686 58540 61467 68670 81956 87810 102445 105372 122934 131715 137340 175620 184401 204890 245868 263430 307335 319043 368802 409780 526860 614670 638086 737604 922005 957129 1229340 1276172 1595215 1844010 1914258 2233301 2871387 3190430 3688020 3828516 4466602 4785645 5742774 6380860 6699903 8933204 9571290 11166505 11485548 13399806 14356935 19142580 20099709 22333010 26799612 28713870 33499515 40199418 44666020 57427740 66999030 80398836 100498545 133998060 200997090 401994180