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145748240 = 245111923379
BaseRepresentation
bin10001010111111…
…11000100010000
3101011020202222222
420223333010100
5244302420430
622243520212
73416560661
oct1053770420
9334222888
10145748240
11752a88a0
1240989068
1324270881
14154dd368
15cbde9e5
hex8aff110

145748240 has 160 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 47900160.

The previous prime is 145748227. The next prime is 145748261. The reversal of 145748240 is 42847541.

It is a self number, because there is not a number n which added to its sum of digits gives 145748240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384371 + ... + 384749.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2145748240 is an apocalyptic number.

145748240 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 145748240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

145748240 is an abundant number, since it is smaller than the sum of its proper divisors (261368560).

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

145748240 is a wasteful number, since it uses less digits than its factorization.

145748240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 145748240 is about 12072.6235756773. The cubic root of 145748240 is about 526.2609027255.

The spelling of 145748240 in words is "one hundred forty-five million, seven hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 23 38 40 44 46 55 76 80 88 92 95 110 115 152 176 184 190 209 220 230 253 304 368 379 380 418 437 440 460 506 758 760 836 874 880 920 1012 1045 1265 1516 1520 1672 1748 1840 1895 2024 2090 2185 2530 3032 3344 3496 3790 4048 4169 4180 4370 4807 5060 6064 6992 7201 7580 8338 8360 8717 8740 9614 10120 14402 15160 16676 16720 17434 17480 19228 20240 20845 24035 28804 30320 33352 34868 34960 36005 38456 41690 43585 48070 57608 66704 69736 72010 76912 79211 83380 87170 95887 96140 115216 139472 144020 158422 165623 166760 174340 191774 192280 288040 316844 331246 333520 348680 383548 384560 396055 479435 576080 633688 662492 697360 767096 792110 828115 958870 1267376 1324984 1534192 1584220 1656230 1821853 1917740 2649968 3168440 3312460 3643706 3835480 6336880 6624920 7287412 7670960 9109265 13249840 14574824 18218530 29149648 36437060 72874120 145748240