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402032020 = 225131997839
BaseRepresentation
bin10111111101101…
…000010110010100
31001000111100020211
4113331220112110
51310410011040
6103520535204
712651134005
oct2775502624
91030440224
10402032020
11196a33675
12b2781504
13653a3490
143b5731ac
15254658ea
hex17f68594

402032020 has 96 divisors (see below), whose sum is σ = 968083200. Its totient is φ = 139014144.

The previous prime is 402032011. The next prime is 402032021. The reversal of 402032020 is 20230204.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402032021) 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, 478761 + ... + 479599.

It is an arithmetic number, because the mean of its divisors is an integer number (10084200).

Almost surely, 2402032020 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 402032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484041600).

402032020 is an abundant number, since it is smaller than the sum of its proper divisors (566051180).

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

402032020 is a wasteful number, since it uses less digits than its factorization.

402032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 402032020 is about 20050.7361460870. The cubic root of 402032020 is about 738.0518638747.

Adding to 402032020 its reverse (20230204), we get a palindrome (422262224).

The spelling of 402032020 in words is "four hundred two million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 97 130 190 194 247 260 380 388 485 494 839 970 988 1235 1261 1678 1843 1940 2470 2522 3356 3686 4195 4940 5044 6305 7372 8390 9215 10907 12610 15941 16780 18430 21814 23959 25220 31882 36860 43628 47918 54535 63764 79705 81383 95836 109070 119795 159410 162766 207233 218140 239590 318820 325532 406915 414466 479180 813830 828932 1036165 1057979 1546277 1627660 2072330 2115958 3092554 4144660 4231916 5289895 6185108 7731385 10579790 15462770 20101601 21159580 30925540 40203202 80406404 100508005 201016010 402032020