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145797750 = 2325379257
BaseRepresentation
bin10001011000010…
…11001001110110
3101011100021220200
420230023021312
5244311012000
622244541330
73420155220
oct1054131166
9334307820
10145797750
117533200a
12409b1846
132428a277
1415513410
15cbee500
hex8b0b276

145797750 has 96 divisors (see below), whose sum is σ = 450605376. Its totient is φ = 33321600.

The previous prime is 145797737. The next prime is 145797767. The reversal of 145797750 is 57797541.

145797750 is a `hidden beast` number, since 1 + 4 + 579 + 7 + 75 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 145797696 and 145797705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11122 + ... + 20378.

It is an arithmetic number, because the mean of its divisors is an integer number (4693806).

Almost surely, 2145797750 is an apocalyptic number.

145797750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145797750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225302688).

145797750 is an abundant number, since it is smaller than the sum of its proper divisors (304807626).

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

145797750 is a wasteful number, since it uses less digits than its factorization.

145797750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9287 (or 9274 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The square root of 145797750 is about 12074.6739086403. The cubic root of 145797750 is about 526.3204854406.

The spelling of 145797750 in words is "one hundred forty-five million, seven hundred ninety-seven thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 125 126 150 175 210 225 250 315 350 375 450 525 630 750 875 1050 1125 1575 1750 2250 2625 3150 5250 7875 9257 15750 18514 27771 46285 55542 64799 83313 92570 129598 138855 166626 194397 231425 277710 323995 388794 416565 462850 583191 647990 694275 833130 971985 1157125 1166382 1388550 1619975 1943970 2082825 2314250 2915955 3239950 3471375 4165650 4859925 5831910 6942750 8099875 9719850 10414125 14579775 16199750 20828250 24299625 29159550 48599250 72898875 145797750