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246072040 = 23519217041
BaseRepresentation
bin11101010101011…
…00001011101000
3122011000202101021
432222230023220
51000443301130
640230102224
76045402124
oct1652541350
9564022337
10246072040
111169a0625
126a4aa974
133bc98876
1424976584
151690a37a
hexeaac2e8

246072040 has 48 divisors (see below), whose sum is σ = 584370180. Its totient is φ = 93242880.

The previous prime is 246072031. The next prime is 246072053. The reversal of 246072040 is 40270642.

246072040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 239197156 + 6874884 = 15466^2 + 2622^2 .

It is a junction number, because it is equal to n+sod(n) for n = 246071996 and 246072014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5920 + ... + 22960.

Almost surely, 2246072040 is an apocalyptic number.

246072040 is a gapful number since it is divisible by the number (20) 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 246072040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292185090).

246072040 is an abundant number, since it is smaller than the sum of its proper divisors (338298140).

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

246072040 is a wasteful number, since it uses less digits than its factorization.

246072040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17090 (or 17067 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 246072040 is about 15686.6835245695. The cubic root of 246072040 is about 626.6438136126.

The spelling of 246072040 in words is "two hundred forty-six million, seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 2888 3610 7220 14440 17041 34082 68164 85205 136328 170410 323779 340820 647558 681640 1295116 1618895 2590232 3237790 6151801 6475580 12303602 12951160 24607204 30759005 49214408 61518010 123036020 246072040