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20401836 = 223721317157
BaseRepresentation
bin100110111010…
…0111010101100
31102101112001120
41031310322230
520210324321
62005140540
7335261400
oct115647254
942345046
1020401836
1110575224
1269ba750
1342c42c0
1429d1100
151bceec6
hex1374eac

20401836 has 144 divisors (see below), whose sum is σ = 63546336. Its totient is φ = 5031936.

The previous prime is 20401831. The next prime is 20401859. The reversal of 20401836 is 63810402.

It is a happy number.

20401836 is a modest number, since divided by 1836 gives 204 as remainder.

It is not an unprimeable number, because it can be changed into a prime (20401831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129870 + ... + 130026.

It is an arithmetic number, because the mean of its divisors is an integer number (441294).

Almost surely, 220401836 is an apocalyptic number.

20401836 is a gapful number since it is divisible by the number (26) 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 20401836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31773168).

20401836 is an abundant number, since it is smaller than the sum of its proper divisors (43144500).

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

20401836 is a wasteful number, since it uses less digits than its factorization.

20401836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20401836 is about 4516.8391602978. The cubic root of 20401836 is about 273.2476385468.

It can be divided in two parts, 20 and 401836, that added together give a triangular number (401856 = T896).

The spelling of 20401836 in words is "twenty million, four hundred one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 49 51 52 68 78 84 91 98 102 119 147 156 157 182 196 204 221 238 273 294 314 357 364 442 471 476 546 588 628 637 663 714 833 884 942 1092 1099 1274 1326 1428 1547 1666 1884 1911 2041 2198 2499 2548 2652 2669 3094 3297 3332 3822 4082 4396 4641 4998 5338 6123 6188 6594 7644 7693 8007 8164 9282 9996 10676 10829 12246 13188 14287 15386 16014 18564 18683 21658 23079 24492 28574 30772 32028 32487 34697 37366 42861 43316 46158 56049 57148 64974 69394 74732 85722 92316 100009 104091 112098 129948 130781 138788 171444 200018 208182 224196 242879 261562 300027 392343 400036 416364 485758 523124 600054 728637 784686 971516 1200108 1457274 1569372 1700153 2914548 3400306 5100459 6800612 10200918 20401836