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145623744 = 263474013
BaseRepresentation
bin10001010111000…
…00101011000000
3101011000110020000
420223200223000
5244234424434
622241120000
73415532010
oct1053405300
9334013200
10145623744
1175223302
1240929000
1324228cc6
14154a9c40
15cbb7b99
hex8ae0ac0

145623744 has 140 divisors (see below), whose sum is σ = 493465104. Its totient is φ = 41596416.

The previous prime is 145623743. The next prime is 145623773. The reversal of 145623744 is 447326541.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145623699 and 145623708.

It is not an unprimeable number, because it can be changed into a prime (145623743) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34282 + ... + 38294.

Almost surely, 2145623744 is an apocalyptic number.

145623744 is a gapful number since it is divisible by the number (14) 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 145623744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246732552).

145623744 is an abundant number, since it is smaller than the sum of its proper divisors (347841360).

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

145623744 is an equidigital number, since it uses as much as digits as its factorization.

145623744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044 (or 4025 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 145623744 is about 12067.4663455093. The cubic root of 145623744 is about 526.1110186037. Note that the first 3 decimals are identical.

It can be divided in two parts, 1456 and 23744, that added together give a triangular number (25200 = T224).

The spelling of 145623744 in words is "one hundred forty-five million, six hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4013 4032 4536 5184 6048 8026 9072 12039 12096 16052 18144 24078 28091 32104 36117 36288 48156 56182 64208 72234 84273 96312 108351 112364 128416 144468 168546 192624 216702 224728 252819 256832 288936 325053 337092 385248 433404 449456 505638 577872 650106 674184 758457 770496 866808 898912 1011276 1155744 1300212 1348368 1516914 1733616 1797824 2022552 2275371 2311488 2600424 2696736 3033828 3467232 4045104 4550742 5200848 5393472 6067656 6934464 8090208 9101484 10401696 12135312 16180416 18202968 20803392 24270624 36405936 48541248 72811872 145623744