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145764630 = 233511172887
BaseRepresentation
bin10001011000000…
…11000100010110
3101011021121111000
420230003010112
5244303432010
622244124130
73416656524
oct1054030426
9334247430
10145764630
117530a140
1240996646
132427817b
1415505314
15cbe47c0
hex8b03116

145764630 has 128 divisors (see below), whose sum is σ = 449141760. Its totient is φ = 33246720.

The previous prime is 145764629. The next prime is 145764677. The reversal of 145764630 is 36467541.

It is a happy number.

145764630 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 646 + 3 + 0 = 666.

It is a congruent number.

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, 49047 + ... + 51933.

It is an arithmetic number, because the mean of its divisors is an integer number (3508920).

Almost surely, 2145764630 is an apocalyptic number.

145764630 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 145764630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224570880).

145764630 is an abundant number, since it is smaller than the sum of its proper divisors (303377130).

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

145764630 is a wasteful number, since it uses less digits than its factorization.

145764630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 145764630 is about 12073.3023651361. The cubic root of 145764630 is about 526.2806287336.

The spelling of 145764630 in words is "one hundred forty-five million, seven hundred sixty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 85 90 99 102 110 135 153 165 170 187 198 255 270 297 306 330 374 459 495 510 561 594 765 918 935 990 1122 1485 1530 1683 1870 2295 2805 2887 2970 3366 4590 5049 5610 5774 8415 8661 10098 14435 16830 17322 25245 25983 28870 31757 43305 49079 50490 51966 63514 77949 86610 95271 98158 129915 147237 155898 158785 190542 245395 259830 285813 294474 317570 389745 441711 476355 490790 539869 571626 736185 779490 857439 883422 952710 1079738 1325133 1429065 1472370 1619607 1714878 2208555 2650266 2699345 2858130 3239214 4287195 4417110 4858821 5398690 6625665 8098035 8574390 9717642 13251330 14576463 16196070 24294105 29152926 48588210 72882315 145764630