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145618770 = 2351117101257
BaseRepresentation
bin10001010110111…
…11011101010010
3101011000012101210
420223133131102
5244234300040
622241040550
73415511343
oct1053373522
9334005353
10145618770
117521a5a0
1240926156
132422696b
14154a80ca
15cbb6480
hex8adf752

145618770 has 128 divisors (see below), whose sum is σ = 409266432. Its totient is φ = 32768000.

The previous prime is 145618751. The next prime is 145618783. The reversal of 145618770 is 77816541.

145618770 = T21 + T22 + ... + T955.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 566482 + ... + 566738.

It is an arithmetic number, because the mean of its divisors is an integer number (3197394).

Almost surely, 2145618770 is an apocalyptic number.

145618770 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 145618770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204633216).

145618770 is an abundant number, since it is smaller than the sum of its proper divisors (263647662).

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

145618770 is a wasteful number, since it uses less digits than its factorization.

145618770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396.

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 145618770 is about 12067.2602524351. The cubic root of 145618770 is about 526.1050284954.

The spelling of 145618770 in words is "one hundred forty-five million, six hundred eighteen thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 101 102 110 165 170 187 202 255 257 303 330 374 505 510 514 561 606 771 935 1010 1111 1122 1285 1515 1542 1717 1870 2222 2570 2805 2827 3030 3333 3434 3855 4369 5151 5555 5610 5654 6666 7710 8481 8585 8738 10302 11110 13107 14135 16665 16962 17170 18887 21845 25755 25957 26214 28270 33330 37774 42405 43690 48059 51510 51914 56661 65535 77871 84810 94435 96118 113322 129785 131070 144177 155742 188870 240295 259570 283305 285527 288354 389355 441269 480590 566610 571054 720885 778710 856581 882538 1323807 1427635 1441770 1713162 2206345 2647614 2855270 4282905 4412690 4853959 6619035 8565810 9707918 13238070 14561877 24269795 29123754 48539590 72809385 145618770