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145098360 = 233251123331
BaseRepresentation
bin10001010011000…
…00011001111000
3101010000202112100
420221200121320
5244121121420
622221543400
73411213201
oct1051403170
9333022470
10145098360
11749a4600
1240714b60
13240a3b24
14153b05a8
15cb12190
hex8a60678

145098360 has 144 divisors (see below), whose sum is σ = 518492520. Its totient is φ = 35164800.

The previous prime is 145098341. The next prime is 145098361. The reversal of 145098360 is 63890541.

145098360 is a `hidden beast` number, since 14 + 509 + 83 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145098361) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 41895 + ... + 45225.

Almost surely, 2145098360 is an apocalyptic number.

145098360 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 145098360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259246260).

145098360 is an abundant number, since it is smaller than the sum of its proper divisors (373394160).

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

145098360 is a wasteful number, since it uses less digits than its factorization.

145098360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 145098360 is about 12045.6780631063. The cubic root of 145098360 is about 525.4775518709.

The spelling of 145098360 in words is "one hundred forty-five million, ninety-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3331 3630 3960 4356 4840 5445 6662 7260 8712 9993 10890 13324 14520 16655 19986 21780 26648 29979 33310 36641 39972 43560 49965 59958 66620 73282 79944 99930 109923 119916 133240 146564 149895 183205 199860 219846 239832 293128 299790 329769 366410 399720 403051 439692 549615 599580 659538 732820 806102 879384 1099230 1199160 1209153 1319076 1465640 1612204 1648845 2015255 2198460 2418306 2638152 3224408 3297690 3627459 4030510 4396920 4836612 6045765 6595380 7254918 8061020 9673224 12091530 13190760 14509836 16122040 18137295 24183060 29019672 36274590 48366120 72549180 145098360