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145305660 = 22352937261
BaseRepresentation
bin10001010100100…
…11000000111100
3101010102021220010
420222103000330
5244144240120
622230223220
73413035443
oct1052230074
9333367803
10145305660
1175026325
12407b4b10
13241472a6
1415425d5a
15cb537e0
hex8a9303c

145305660 has 144 divisors (see below), whose sum is σ = 439659360. Its totient is φ = 35804160.

The previous prime is 145305637. The next prime is 145305691. The reversal of 145305660 is 66503541.

It is a super-2 number, since 2×1453056602 = 42227469656071200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 2382030 + ... + 2382090.

It is an arithmetic number, because the mean of its divisors is an integer number (3053190).

Almost surely, 2145305660 is an apocalyptic number.

145305660 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 145305660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219829680).

145305660 is an abundant number, since it is smaller than the sum of its proper divisors (294353700).

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

145305660 is a wasteful number, since it uses less digits than its factorization.

145305660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 145305660 is about 12054.2797379188. The cubic root of 145305660 is about 525.7276802696.

The spelling of 145305660 in words is "one hundred forty-five million, three hundred five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 37 58 60 61 74 87 111 116 122 145 148 174 183 185 222 244 290 305 348 366 370 435 444 555 580 610 732 740 870 915 1073 1110 1220 1369 1740 1769 1830 2146 2220 2257 2738 3219 3538 3660 4107 4292 4514 5307 5365 5476 6438 6771 6845 7076 8214 8845 9028 10614 10730 11285 12876 13542 13690 16095 16428 17690 20535 21228 21460 22570 26535 27084 27380 32190 33855 35380 39701 41070 45140 53070 64380 65453 67710 79402 82140 83509 106140 119103 130906 135420 158804 167018 196359 198505 238206 250527 261812 327265 334036 392718 397010 417545 476412 501054 595515 654530 785436 794020 835090 981795 1002108 1191030 1252635 1309060 1670180 1963590 2382060 2421761 2505270 3927180 4843522 5010540 7265283 9687044 12108805 14530566 24217610 29061132 36326415 48435220 72652830 145305660