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401921190 = 23451179571
BaseRepresentation
bin10111111101001…
…101010010100110
31001000021201020000
4113331031102212
51310342434230
6103514322130
712650162616
oct2775152246
91030251200
10401921190
11196968380
12b2729346
1365364bb8
143b544a46
1525442b60
hex17f4d4a6

401921190 has 160 divisors (see below), whose sum is σ = 1195983360. Its totient is φ = 96033600.

The previous prime is 401921189. The next prime is 401921197. The reversal of 401921190 is 91129104.

It is a super-2 number, since 2×4019211902 = 323081285942032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401921197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 703605 + ... + 704175.

It is an arithmetic number, because the mean of its divisors is an integer number (7474896).

Almost surely, 2401921190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401921190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597991680).

401921190 is an abundant number, since it is smaller than the sum of its proper divisors (794062170).

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

401921190 is a wasteful number, since it uses less digits than its factorization.

401921190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 401921190 is about 20047.9722166607. The cubic root of 401921190 is about 737.9840369341.

The spelling of 401921190 in words is "four hundred one million, nine hundred twenty-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 79 81 90 99 110 135 158 162 165 198 237 270 297 330 395 405 474 495 571 594 711 790 810 869 891 990 1142 1185 1422 1485 1713 1738 1782 2133 2370 2607 2855 2970 3426 3555 4266 4345 4455 5139 5214 5710 6281 6399 7110 7821 8565 8690 8910 10278 10665 12562 12798 13035 15417 15642 17130 18843 21330 23463 25695 26070 30834 31405 31995 37686 39105 45109 46251 46926 51390 56529 62810 63990 70389 77085 78210 90218 92502 94215 113058 117315 135327 140778 154170 169587 188430 225545 231255 234630 270654 282645 339174 351945 405981 451090 462510 496199 508761 565290 676635 703890 811962 847935 992398 1017522 1217943 1353270 1488597 1695870 2029905 2435886 2480995 2543805 2977194 3653829 4059810 4465791 4961990 5087610 6089715 7307658 7442985 8931582 12179430 13397373 14885970 18269145 22328955 26794746 36538290 40192119 44657910 66986865 80384238 133973730 200960595 401921190