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145485720 = 2334583541
BaseRepresentation
bin10001010101111…
…10111110011000
3101010202102220000
420222332332120
5244221020340
622234133000
73414415422
oct1052767630
9333672800
10145485720
1175139636
1240881160
13241ab233
1415471812
15cb8bd30
hex8abef98

145485720 has 160 divisors (see below), whose sum is σ = 495799920. Its totient is φ = 38257920.

The previous prime is 145485713. The next prime is 145485731. The reversal of 145485720 is 27584541.

145485720 is a `hidden beast` number, since 1 + 45 + 48 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 268650 + ... + 269190.

Almost surely, 2145485720 is an apocalyptic number.

145485720 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 145485720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247899960).

145485720 is an abundant number, since it is smaller than the sum of its proper divisors (350314200).

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

145485720 is a wasteful number, since it uses less digits than its factorization.

145485720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 145485720 is about 12061.7461422466. The cubic root of 145485720 is about 525.9447478674.

The spelling of 145485720 in words is "one hundred forty-five million, four hundred eighty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 83 90 108 120 135 162 166 180 216 249 270 324 332 360 405 415 498 540 541 648 664 747 810 830 996 1080 1082 1245 1494 1620 1623 1660 1992 2164 2241 2490 2705 2988 3240 3246 3320 3735 4328 4482 4869 4980 5410 5976 6492 6723 7470 8115 8964 9738 9960 10820 11205 12984 13446 14607 14940 16230 17928 19476 21640 22410 24345 26892 29214 29880 32460 33615 38952 43821 44820 44903 48690 53784 58428 64920 67230 73035 87642 89640 89806 97380 116856 134460 134709 146070 175284 179612 194760 219105 224515 268920 269418 292140 350568 359224 404127 438210 449030 538836 584280 673545 808254 876420 898060 1077672 1212381 1347090 1616508 1752840 1796120 2020635 2424762 2694180 3233016 3637143 4041270 4849524 5388360 6061905 7274286 8082540 9699048 12123810 14548572 16165080 18185715 24247620 29097144 36371430 48495240 72742860 145485720