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401130432 = 26321936653
BaseRepresentation
bin10111111010001…
…100001111000000
31000221210112111200
4113322030033000
51310142133212
6103445341200
712640360323
oct2772141700
91027715450
10401130432
1119647825a
12b2407800
1365148cb1
143b3ba7ba
15253386dc
hex17e8c3c0

401130432 has 84 divisors (see below), whose sum is σ = 1210315080. Its totient is φ = 126669312.

The previous prime is 401130427. The next prime is 401130437. The reversal of 401130432 is 234031104.

It is an interprime number because it is at equal distance from previous prime (401130427) and next prime (401130437).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401130437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7383 + ... + 29270.

Almost surely, 2401130432 is an apocalyptic number.

It is an amenable number.

401130432 is an abundant number, since it is smaller than the sum of its proper divisors (809184648).

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

401130432 is a wasteful number, since it uses less digits than its factorization.

401130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36690 (or 36677 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 401130432 is about 20028.2408613438. The cubic root of 401130432 is about 737.4997380828.

Adding to 401130432 its reverse (234031104), we get a palindrome (635161536).

It can be divided in two parts, 4011 and 30432, that added together give a palindrome (34443).

The spelling of 401130432 in words is "four hundred one million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 36653 73306 109959 146612 219918 293224 329877 439836 586448 659754 696407 879672 1172896 1319508 1392814 1759344 2089221 2345792 2639016 2785628 3518688 4178442 5278032 5571256 6267663 7037376 8356884 10556064 11142512 12535326 16713768 21112128 22285024 25070652 33427536 44570048 50141304 66855072 100282608 133710144 200565216 401130432