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145452480 = 26351031471
BaseRepresentation
bin10001010101101…
…10110111000000
3101010200202021220
420222312313000
5244213434410
622233315040
73414216465
oct1052666700
9333622256
10145452480
1175116668
1240865a80
1324199074
141546366c
15cb82070
hex8ab6dc0

145452480 has 112 divisors (see below), whose sum is σ = 466612224. Its totient is φ = 38384640.

The previous prime is 145452473. The next prime is 145452497. The reversal of 145452480 is 84254541.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 98145 + ... + 99615.

Almost surely, 2145452480 is an apocalyptic number.

145452480 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 145452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233306112).

145452480 is an abundant number, since it is smaller than the sum of its proper divisors (321159744).

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

145452480 is a wasteful number, since it uses less digits than its factorization.

145452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 145452480 is about 12060.3681535847. The cubic root of 145452480 is about 525.9046895601.

The spelling of 145452480 in words is "one hundred forty-five million, four hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 160 192 206 240 309 320 412 480 515 618 824 960 1030 1236 1471 1545 1648 2060 2472 2942 3090 3296 4120 4413 4944 5884 6180 6592 7355 8240 8826 9888 11768 12360 14710 16480 17652 19776 22065 23536 24720 29420 32960 35304 44130 47072 49440 58840 70608 88260 94144 98880 117680 141216 151513 176520 235360 282432 303026 353040 454539 470720 606052 706080 757565 909078 1212104 1412160 1515130 1818156 2272695 2424208 3030260 3636312 4545390 4848416 6060520 7272624 9090780 9696832 12121040 14545248 18181560 24242080 29090496 36363120 48484160 72726240 145452480