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145018368 = 2932112861
BaseRepresentation
bin10001010010011…
…00111000000000
3101002212200210200
420221030320000
5244111041433
622220125200
73410431035
oct1051147000
9332780720
10145018368
117494a4a0
1240696800
13240765b1
141538d38c
15cae8613
hex8a4ce00

145018368 has 120 divisors (see below), whose sum is σ = 456740856. Its totient is φ = 43929600.

The previous prime is 145018343. The next prime is 145018387. The reversal of 145018368 is 863810541.

145018368 is a `hidden beast` number, since 14 + 501 + 83 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49258 + ... + 52118.

Almost surely, 2145018368 is an apocalyptic number.

145018368 is a gapful number since it is divisible by the number (18) 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 145018368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228370428).

145018368 is an abundant number, since it is smaller than the sum of its proper divisors (311722488).

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

145018368 is a wasteful number, since it uses less digits than its factorization.

145018368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 145018368 is about 12042.3572443272. The cubic root of 145018368 is about 525.3809697384.

The spelling of 145018368 in words is "one hundred forty-five million, eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 2861 3168 4224 4608 5632 5722 6336 8448 8583 11444 12672 16896 17166 22888 25344 25749 31471 34332 45776 50688 51498 62942 68664 91552 94413 102996 125884 137328 183104 188826 205992 251768 274656 283239 366208 377652 411984 503536 549312 566478 732416 755304 823968 1007072 1098624 1132956 1464832 1510608 1647936 2014144 2197248 2265912 3021216 3295872 4028288 4394496 4531824 6042432 6591744 8056576 9063648 12084864 13183488 16113152 18127296 24169728 36254592 48339456 72509184 145018368