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145352460 = 223511220021
BaseRepresentation
bin10001010100111…
…10011100001100
3101010111200002110
420222132130030
5244202234320
622231224020
73413322051
oct1052363414
9333450073
10145352460
1175058500
1240818010
1324162696
1415439028
15cb625e0
hex8a9e70c

145352460 has 72 divisors (see below), whose sum is σ = 447371568. Its totient is φ = 35235200.

The previous prime is 145352453. The next prime is 145352497. The reversal of 145352460 is 64253541.

It is a super-2 number, since 2×1453524602 = 42254675256103200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2751 + ... + 17270.

It is an arithmetic number, because the mean of its divisors is an integer number (6213494).

Almost surely, 2145352460 is an apocalyptic number.

145352460 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 145352460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223685784).

145352460 is an abundant number, since it is smaller than the sum of its proper divisors (302019108).

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

145352460 is a wasteful number, since it uses less digits than its factorization.

145352460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20055 (or 20042 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 145352460 is about 12056.2208008978. The cubic root of 145352460 is about 525.7841162782.

The spelling of 145352460 in words is "one hundred forty-five million, three hundred fifty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 20021 40042 60063 80084 100105 120126 200210 220231 240252 300315 400420 440462 600630 660693 880924 1101155 1201260 1321386 2202310 2422541 2642772 3303465 4404620 4845082 6606930 7267623 9690164 12112705 13213860 14535246 24225410 29070492 36338115 48450820 72676230 145352460