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146454540 = 223531711109
BaseRepresentation
bin10001011101010…
…11100000001100
3101012120122212020
420232223200030
5244443021130
622311010140
73425562111
oct1056534014
9335518766
10146454540
1175740511
1241069950
132445a1bb
1415644908
15cccde10
hex8bab80c

146454540 has 96 divisors (see below), whose sum is σ = 429649920. Its totient is φ = 37228800.

The previous prime is 146454523. The next prime is 146454557. The reversal of 146454540 is 45454641.

It is an interprime number because it is at equal distance from previous prime (146454523) and next prime (146454557).

It is a super-2 number, since 2×1464545402 = 42897864573223200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131506 + ... + 132614.

It is an arithmetic number, because the mean of its divisors is an integer number (4475520).

Almost surely, 2146454540 is an apocalyptic number.

146454540 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 146454540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214824960).

146454540 is an abundant number, since it is smaller than the sum of its proper divisors (283195380).

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

146454540 is a wasteful number, since it uses less digits than its factorization.

146454540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 146454540 is about 12101.8403559128. The cubic root of 146454540 is about 527.1096248487.

The spelling of 146454540 in words is "one hundred forty-six million, four hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 71 93 124 142 155 186 213 284 310 355 372 426 465 620 710 852 930 1065 1109 1420 1860 2130 2201 2218 3327 4260 4402 4436 5545 6603 6654 8804 11005 11090 13206 13308 16635 22010 22180 26412 33015 33270 34379 44020 66030 66540 68758 78739 103137 132060 137516 157478 171895 206274 236217 314956 343790 393695 412548 472434 515685 687580 787390 944868 1031370 1181085 1574780 2062740 2362170 2440909 4724340 4881818 7322727 9763636 12204545 14645454 24409090 29290908 36613635 48818180 73227270 146454540