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145143460 = 2257113072
BaseRepresentation
bin10001010011010…
…11011010100100
3101010010001101201
420221223122210
5244124042320
622222532244
73411461530
oct1051533244
9333101351
10145143460
1174a25480
1240737084
13240bb507
14153c2bc0
15cb2070a
hex8a6b6a4

145143460 has 72 divisors (see below), whose sum is σ = 381253824. Its totient is φ = 45092160.

The previous prime is 145143443. The next prime is 145143469. The reversal of 145143460 is 64341541.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (145143469) by changing a digit.

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, 472627 + ... + 472933.

It is an arithmetic number, because the mean of its divisors is an integer number (5295192).

Almost surely, 2145143460 is an apocalyptic number.

145143460 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 145143460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190626912).

145143460 is an abundant number, since it is smaller than the sum of its proper divisors (236110364).

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

145143460 is a wasteful number, since it uses less digits than its factorization.

145143460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 145143460 is about 12047.5499583940. The cubic root of 145143460 is about 525.5319898457.

The spelling of 145143460 in words is "one hundred forty-five million, one hundred forty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 307 308 385 614 770 1228 1535 1540 2149 3070 3377 4298 6140 6754 8596 10745 13508 16885 21490 23639 33770 42980 47278 67540 94249 94556 118195 188498 236390 376996 471245 472780 659743 942490 1036739 1319486 1884980 2073478 2638972 3298715 4146956 5183695 6597430 7257173 10367390 13194860 14514346 20734780 29028692 36285865 72571730 145143460