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402004020 = 223511679091
BaseRepresentation
bin10111111101100…
…001100000110100
31001000102220211210
4113331201200310
51310403112040
6103520201420
712650656245
oct2775414064
91030386753
10402004020
11196a14630
12b2769270
1365393802
143b566ccc
152545c480
hex17f61834

402004020 has 96 divisors (see below), whose sum is σ = 1246404096. Its totient is φ = 95990400.

The previous prime is 402004007. The next prime is 402004021. The reversal of 402004020 is 20400204.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 402003987 and 402004005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402004021) 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, 39675 + ... + 48765.

It is an arithmetic number, because the mean of its divisors is an integer number (12983376).

Almost surely, 2402004020 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 402004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623202048).

402004020 is an abundant number, since it is smaller than the sum of its proper divisors (844400076).

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

402004020 is a wasteful number, since it uses less digits than its factorization.

402004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 402004020 is about 20050.0379052011. The cubic root of 402004020 is about 738.0347293092.

Adding to 402004020 its reverse (20400204), we get a palindrome (422404224).

The spelling of 402004020 in words is "four hundred two million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 67 110 132 134 165 201 220 268 330 335 402 660 670 737 804 1005 1340 1474 2010 2211 2948 3685 4020 4422 7370 8844 9091 11055 14740 18182 22110 27273 36364 44220 45455 54546 90910 100001 109092 136365 181820 200002 272730 300003 400004 500005 545460 600006 609097 1000010 1200012 1218194 1500015 1827291 2000020 2436388 3000030 3045485 3654582 6000060 6090970 6700067 7309164 9136455 12181940 13400134 18272910 20100201 26800268 33500335 36545820 40200402 67000670 80400804 100501005 134001340 201002010 402004020