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246972240 = 2434538113
BaseRepresentation
bin11101011100001…
…11111101010000
3122012201111020000
432232013331100
51001211102430
640301250000
76056141454
oct1656077520
9565644200
10246972240
11117455999
126a863900
133c222528
1424b2c664
1516a36e60
hexeb87f50

246972240 has 100 divisors (see below), whose sum is σ = 857793684. Its totient is φ = 65857536.

The previous prime is 246972239. The next prime is 246972247. The reversal of 246972240 is 42279642.

It can be written as a sum of positive squares in 2 ways, for example, as 115089984 + 131882256 = 10728^2 + 11484^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 246972195 and 246972204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246972247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12577 + ... + 25536.

Almost surely, 2246972240 is an apocalyptic number.

246972240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

246972240 is an abundant number, since it is smaller than the sum of its proper divisors (610821444).

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

246972240 is a wasteful number, since it uses less digits than its factorization.

246972240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38138 (or 38123 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 246972240 is about 15715.3504574349. The cubic root of 246972240 is about 627.4070295006.

The spelling of 246972240 in words is "two hundred forty-six million, nine hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 38113 76226 114339 152452 190565 228678 304904 343017 381130 457356 571695 609808 686034 762260 914712 1029051 1143390 1372068 1524520 1715085 1829424 2058102 2286780 2744136 3049040 3087153 3430170 4116204 4573560 5145255 5488272 6174306 6860340 8232408 9147120 10290510 12348612 13720680 15435765 16464816 20581020 24697224 27441360 30871530 41162040 49394448 61743060 82324080 123486120 246972240