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145698960 = 243511229241
BaseRepresentation
bin10001010111100…
…11000010010000
3101011011021101210
420223303002100
5244244331320
622242500120
73416264211
oct1053630220
9334137353
10145698960
1175274870
1240964640
1324254304
14154c9408
15cbd00e0
hex8af3090

145698960 has 160 divisors (see below), whose sum is σ = 496932480. Its totient is φ = 35020800.

The previous prime is 145698913. The next prime is 145698967. The reversal of 145698960 is 69896541.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (145698967) 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 31 ways as a sum of consecutive naturals, for example, 604440 + ... + 604680.

It is an arithmetic number, because the mean of its divisors is an integer number (3105828).

Almost surely, 2145698960 is an apocalyptic number.

145698960 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 145698960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248466240).

145698960 is an abundant number, since it is smaller than the sum of its proper divisors (351233520).

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

145698960 is a wasteful number, since it uses less digits than its factorization.

145698960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 145698960 is about 12070.5824217392. The cubic root of 145698960 is about 526.2015834025.

The spelling of 145698960 in words is "one hundred forty-five million, six hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 229 240 241 264 330 440 458 482 528 660 687 723 880 916 964 1145 1205 1320 1374 1446 1832 1928 2290 2410 2519 2640 2651 2748 2892 3435 3615 3664 3856 4580 4820 5038 5302 5496 5784 6870 7230 7557 7953 9160 9640 10076 10604 10992 11568 12595 13255 13740 14460 15114 15906 18320 19280 20152 21208 25190 26510 27480 28920 30228 31812 37785 39765 40304 42416 50380 53020 54960 55189 57840 60456 63624 75570 79530 100760 106040 110378 120912 127248 151140 159060 165567 201520 212080 220756 275945 302280 318120 331134 441512 551890 604560 607079 636240 662268 827835 883024 1103780 1214158 1324536 1655670 1821237 2207560 2428316 2649072 3035395 3311340 3642474 4415120 4856632 6070790 6622680 7284948 9106185 9713264 12141580 13245360 14569896 18212370 24283160 29139792 36424740 48566320 72849480 145698960