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401142060 = 22325111910663
BaseRepresentation
bin10111111010001…
…111000100101100
31000221211010110100
4113322033010230
51310143021220
6103445511100
712640436244
oct2772170454
91027733410
10401142060
11196485a70
12b2412490
1365151387
143b3c0b24
152533bd90
hex17e8f12c

401142060 has 144 divisors (see below), whose sum is σ = 1397410560. Its totient is φ = 92119680.

The previous prime is 401142031. The next prime is 401142061. The reversal of 401142060 is 60241104.

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 (401142061) 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, 32289 + ... + 42951.

It is an arithmetic number, because the mean of its divisors is an integer number (9704240).

Almost surely, 2401142060 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 401142060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698705280).

401142060 is an abundant number, since it is smaller than the sum of its proper divisors (996268500).

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

401142060 is a wasteful number, since it uses less digits than its factorization.

401142060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10708 (or 10703 counting only the distinct ones).

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

The square root of 401142060 is about 20028.5311493379. The cubic root of 401142060 is about 737.5068642471.

Adding to 401142060 its reverse (60241104), we get a palindrome (461383164).

The spelling of 401142060 in words is "four hundred one million, one hundred forty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 10663 12540 18810 21326 31989 37620 42652 53315 63978 95967 106630 117293 127956 159945 191934 202597 213260 234586 319890 351879 383868 405194 469172 479835 586465 607791 639780 703758 810388 959670 1012985 1055637 1172930 1215582 1407516 1759395 1823373 1919340 2025970 2111274 2228567 2345860 2431164 3038955 3518790 3646746 4051940 4222548 4457134 5278185 6077910 6685701 7037580 7293492 8914268 9116865 10556370 11142835 12155820 13371402 18233730 20057103 21112740 22285670 26742804 33428505 36467460 40114206 44571340 66857010 80228412 100285515 133714020 200571030 401142060