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146023540 = 225131733037
BaseRepresentation
bin10001011010000…
…10010001110100
3101011202202122021
420231002101310
5244340223130
622253442524
73422115415
oct1055022164
9334682567
10146023540
1175476713
1240aa0444
1324338c80
141557180c
15cc4637a
hex8b42474

146023540 has 48 divisors (see below), whose sum is σ = 349674192. Its totient is φ = 50743296.

The previous prime is 146023529. The next prime is 146023561. The reversal of 146023540 is 45320641.

It can be written as a sum of positive squares in 8 ways, for example, as 32558436 + 113465104 = 5706^2 + 10652^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12099 + ... + 20938.

It is an arithmetic number, because the mean of its divisors is an integer number (7284879).

Almost surely, 2146023540 is an apocalyptic number.

146023540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146023540 is an abundant number, since it is smaller than the sum of its proper divisors (203650652).

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

146023540 is a wasteful number, since it uses less digits than its factorization.

146023540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33076 (or 33074 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 146023540 is about 12084.0200264647. The cubic root of 146023540 is about 526.5920410920.

The spelling of 146023540 in words is "one hundred forty-six million, twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 33037 66074 132148 165185 330370 429481 561629 660740 858962 1123258 1717924 2147405 2246516 2808145 4294810 5616290 7301177 8589620 11232580 14602354 29204708 36505885 73011770 146023540