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145005720 = 23351963599
BaseRepresentation
bin10001010010010…
…01110010011000
3101002212001110020
420221021302120
5244110140340
622215550440
73410346126
oct1051116230
9332761406
10145005720
1174940a42
124068b420
1324070902
1415388916
15cae49d0
hex8a49c98

145005720 has 64 divisors (see below), whose sum is σ = 457920000. Its totient is φ = 36632448.

The previous prime is 145005719. The next prime is 145005743. The reversal of 145005720 is 27500541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29520 + ... + 34079.

It is an arithmetic number, because the mean of its divisors is an integer number (7155000).

Almost surely, 2145005720 is an apocalyptic number.

145005720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145005720 is an abundant number, since it is smaller than the sum of its proper divisors (312914280).

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

145005720 is a wasteful number, since it uses less digits than its factorization.

145005720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63632 (or 63628 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 145005720 is about 12041.8320865224. The cubic root of 145005720 is about 525.3656953246.

The spelling of 145005720 in words is "one hundred forty-five million, five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 63599 127198 190797 254396 317995 381594 508792 635990 763188 953985 1208381 1271980 1526376 1907970 2416762 2543960 3625143 3815940 4833524 6041905 7250286 7631880 9667048 12083810 14500572 18125715 24167620 29001144 36251430 48335240 72502860 145005720