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145623520 = 2557130021
BaseRepresentation
bin10001010111000…
…00100111100000
3101011000102220201
420223200213200
5244234423040
622241114544
73415531240
oct1053404740
9334012821
10145623520
1175223119
1240928a54
1324228b83
14154a9b20
15cbb7a9a
hex8ae09e0

145623520 has 48 divisors (see below), whose sum is σ = 393186528. Its totient is φ = 49927680.

The previous prime is 145623497. The next prime is 145623521. The reversal of 145623520 is 25326541.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145623521) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 63891 + ... + 66130.

It is an arithmetic number, because the mean of its divisors is an integer number (8191386).

Almost surely, 2145623520 is an apocalyptic number.

145623520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145623520 is an abundant number, since it is smaller than the sum of its proper divisors (247563008).

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

145623520 is a wasteful number, since it uses less digits than its factorization.

145623520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130043 (or 130035 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 145623520 is about 12067.4570643529. The cubic root of 145623520 is about 526.1107488470.

It can be divided in two parts, 1456 and 23520, that added together give a triangular number (24976 = T223).

The spelling of 145623520 in words is "one hundred forty-five million, six hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 130021 260042 520084 650105 910147 1040168 1300210 1820294 2080336 2600420 3640588 4160672 4550735 5200840 7281176 9101470 10401680 14562352 18202940 20803360 29124704 36405880 72811760 145623520