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401946160 = 245711232837
BaseRepresentation
bin10111111101010…
…011011000110000
31001000022222110211
4113331103120300
51310344234120
6103515033504
712650325460
oct2775233060
91030288424
10401946160
11196985110
12b273b894
1365373385
143b54dba0
152544a25a
hex17f53630

401946160 has 160 divisors (see below), whose sum is σ = 1216207872. Its totient is φ = 119792640.

The previous prime is 401946151. The next prime is 401946163. The reversal of 401946160 is 61649104.

It is not an unprimeable number, because it can be changed into a prime (401946163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140262 + ... + 143098.

Almost surely, 2401946160 is an apocalyptic number.

401946160 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 401946160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608103936).

401946160 is an abundant number, since it is smaller than the sum of its proper divisors (814261712).

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

401946160 is a wasteful number, since it uses less digits than its factorization.

401946160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 401946160 is about 20048.5949632387. The cubic root of 401946160 is about 737.9993194325. Note that the first 3 decimals are identical.

The spelling of 401946160 in words is "four hundred one million, nine hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 23 28 35 40 44 46 55 56 70 77 80 88 92 110 112 115 140 154 161 176 184 220 230 253 280 308 322 368 385 440 460 506 560 616 644 770 805 880 920 1012 1232 1265 1288 1540 1610 1771 1840 2024 2530 2576 2837 3080 3220 3542 4048 5060 5674 6160 6440 7084 8855 10120 11348 12880 14168 14185 17710 19859 20240 22696 28336 28370 31207 35420 39718 45392 56740 62414 65251 70840 79436 99295 113480 124828 130502 141680 156035 158872 198590 218449 226960 249656 261004 312070 317744 326255 397180 436898 456757 499312 522008 624140 652510 717761 794360 873796 913514 1044016 1092245 1248280 1305020 1435522 1588720 1747592 1827028 2184490 2283785 2496560 2610040 2871044 3495184 3588805 3654056 4368980 4567570 5024327 5220080 5742088 7177610 7308112 8737960 9135140 10048654 11484176 14355220 17475920 18270280 20097308 25121635 28710440 36540560 40194616 50243270 57420880 80389232 100486540 200973080 401946160