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145799720 = 235112291447
BaseRepresentation
bin10001011000010…
…11101000101000
3101011100101121122
420230023220220
5244311042340
622244554412
73420164033
oct1054135050
9334311548
10145799720
1175333540
12409b2a08
132428b131
141551401a
15cbeedb5
hex8b0ba28

145799720 has 64 divisors (see below), whose sum is σ = 359683200. Its totient is φ = 52750080.

The previous prime is 145799681. The next prime is 145799723. The reversal of 145799720 is 27997541.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (145799723) 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 15 ways as a sum of consecutive naturals, for example, 100037 + ... + 101483.

It is an arithmetic number, because the mean of its divisors is an integer number (5620050).

Almost surely, 2145799720 is an apocalyptic number.

145799720 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 145799720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179841600).

145799720 is an abundant number, since it is smaller than the sum of its proper divisors (213883480).

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

145799720 is a wasteful number, since it uses less digits than its factorization.

145799720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 44.

The square root of 145799720 is about 12074.7554840667. The cubic root of 145799720 is about 526.3228559542.

The spelling of 145799720 in words is "one hundred forty-five million, seven hundred ninety-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 229 440 458 916 1145 1447 1832 2290 2519 2894 4580 5038 5788 7235 9160 10076 11576 12595 14470 15917 20152 25190 28940 31834 50380 57880 63668 79585 100760 127336 159170 318340 331363 636680 662726 1325452 1656815 2650904 3313630 3644993 6627260 7289986 13254520 14579972 18224965 29159944 36449930 72899860 145799720