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146036490 = 235103167283
BaseRepresentation
bin10001011010001…
…01011100001010
3101011210102101220
420231011130022
5244341131430
622254022510
73422201235
oct1055053412
9334712356
10146036490
1175485416
1240aa7a36
1324341b32
141557641c
15cc4a110
hex8b4570a

146036490 has 64 divisors (see below), whose sum is σ = 357267456. Its totient is φ = 38198592.

The previous prime is 146036459. The next prime is 146036491. The reversal of 146036490 is 94630641.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (146036491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515889 + ... + 516171.

It is an arithmetic number, because the mean of its divisors is an integer number (5582304).

Almost surely, 2146036490 is an apocalyptic number.

146036490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146036490 is an abundant number, since it is smaller than the sum of its proper divisors (211230966).

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

146036490 is a wasteful number, since it uses less digits than its factorization.

146036490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 146036490 is about 12084.5558462030. Note that the first 3 decimals coincide. The cubic root of 146036490 is about 526.6076074529.

It can be divided in two parts, 1460 and 36490, that added together give a triangular number (37950 = T275).

The spelling of 146036490 in words is "one hundred forty-six million, thirty-six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 103 167 206 283 309 334 501 515 566 618 835 849 1002 1030 1415 1545 1670 1698 2505 2830 3090 4245 5010 8490 17201 29149 34402 47261 51603 58298 86005 87447 94522 103206 141783 145745 172010 174894 236305 258015 283566 291490 437235 472610 516030 708915 874470 1417830 4867883 9735766 14603649 24339415 29207298 48678830 73018245 146036490