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146848960 = 265617523
BaseRepresentation
bin10001100000010…
…11110011000000
3101020022200220101
420300023303000
5300043131320
622323252144
73432124036
oct1060136300
9336280811
10146848960
117598a885
124121a054
132456789b
1415708556
15cd5ac0a
hex8c0bcc0

146848960 has 56 divisors (see below), whose sum is σ = 355463856. Its totient is φ = 57768960.

The previous prime is 146848937. The next prime is 146848969. The reversal of 146848960 is 69848641.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 146848960.

It is not an unprimeable number, because it can be changed into a prime (146848969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15759 + ... + 23281.

Almost surely, 2146848960 is an apocalyptic number.

146848960 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 146848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177731928).

146848960 is an abundant number, since it is smaller than the sum of its proper divisors (208614896).

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

146848960 is an equidigital number, since it uses as much as digits as its factorization.

146848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7601 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 146848960 is about 12118.1252675486. The cubic root of 146848960 is about 527.5823909400.

The spelling of 146848960 in words is "one hundred forty-six million, eight hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 7523 9760 15046 19520 30092 37615 60184 75230 120368 150460 240736 300920 458903 481472 601840 917806 1203680 1835612 2294515 2407360 3671224 4589030 7342448 9178060 14684896 18356120 29369792 36712240 73424480 146848960