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19774040 = 23511133457
BaseRepresentation
bin100101101101…
…1101001011000
31101012121212212
41023123221120
520030232130
61543454252
7330035156
oct113335130
941177785
1019774040
1110186590
126757388
134134620
1428aa3d6
151b08e95
hex12dba58

19774040 has 64 divisors (see below), whose sum is σ = 52284960. Its totient is φ = 6635520.

The previous prime is 19773979. The next prime is 19774061. The reversal of 19774040 is 4047791.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19773988 and 19774006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3992 + ... + 7448.

Almost surely, 219774040 is an apocalyptic number.

19774040 is a gapful number since it is divisible by the number (10) 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 19774040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26142480).

19774040 is an abundant number, since it is smaller than the sum of its proper divisors (32510920).

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

19774040 is a wasteful number, since it uses less digits than its factorization.

19774040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 19774040 is about 4446.8010974182. The cubic root of 19774040 is about 270.4156378454.

The spelling of 19774040 in words is "nineteen million, seven hundred seventy-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 3457 5720 6914 13828 17285 27656 34570 38027 44941 69140 76054 89882 138280 152108 179764 190135 224705 304216 359528 380270 449410 494351 760540 898820 988702 1521080 1797640 1977404 2471755 3954808 4943510 9887020 19774040