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4603000240 = 2451710931051
BaseRepresentation
bin1000100100101110…
…00011010110110000
3102212210100122021101
410102113003112300
533411332001430
62040430134144
7222031566526
oct42227032660
912783318241
104603000240
111a52301233
12a85651354
1358482aaa7
1431947c316
151be186dca
hex1125c35b0

4603000240 has 80 divisors (see below), whose sum is σ = 11435830560. Its totient is φ = 1716940800.

The previous prime is 4603000229. The next prime is 4603000243. The reversal of 4603000240 is 420003064.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×46030002402 = 42375222418880115200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4603000243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132715 + ... + 163765.

It is an arithmetic number, because the mean of its divisors is an integer number (142947882).

Almost surely, 24603000240 is an apocalyptic number.

4603000240 is a gapful number since it is divisible by the number (40) 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 4603000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717915280).

4603000240 is an abundant number, since it is smaller than the sum of its proper divisors (6832830320).

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

4603000240 is a wasteful number, since it uses less digits than its factorization.

4603000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31190 (or 31184 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4603000240 is about 67845.4142886607. The cubic root of 4603000240 is about 1663.4649934225.

The spelling of 4603000240 in words is "four billion, six hundred three million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 109 136 170 218 272 340 436 545 680 872 1090 1360 1744 1853 2180 3706 4360 7412 8720 9265 14824 18530 29648 31051 37060 62102 74120 124204 148240 155255 248408 310510 496816 527867 621020 1055734 1242040 2111468 2484080 2639335 3384559 4222936 5278670 6769118 8445872 10557340 13538236 16922795 21114680 27076472 33845590 42229360 54152944 57537503 67691180 115075006 135382360 230150012 270764720 287687515 460300024 575375030 920600048 1150750060 2301500120 4603000240