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145353240 = 23325616619
BaseRepresentation
bin10001010100111…
…10101000011000
3101010111201011100
420222132220120
5244202300430
622231231400
73413324244
oct1052365030
9333451140
10145353240
117505904a
1240818560
1324162b46
1415439424
15cb62960
hex8a9ea18

145353240 has 96 divisors (see below), whose sum is σ = 480214800. Its totient is φ = 38119680.

The previous prime is 145353233. The next prime is 145353253. The reversal of 145353240 is 42353541.

It is a super-2 number, since 2×1453532402 = 42255128756995200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18651 + ... + 25269.

Almost surely, 2145353240 is an apocalyptic number.

145353240 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 145353240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240107400).

145353240 is an abundant number, since it is smaller than the sum of its proper divisors (334861560).

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

145353240 is a wasteful number, since it uses less digits than its factorization.

145353240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6697 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 145353240 is about 12056.2531492997. The cubic root of 145353240 is about 525.7850567757.

The spelling of 145353240 in words is "one hundred forty-five million, three hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 6619 7320 10980 13238 19857 21960 26476 33095 39714 52952 59571 66190 79428 99285 119142 132380 158856 198570 238284 264760 297855 397140 403759 476568 595710 794280 807518 1191420 1211277 1615036 2018795 2382840 2422554 3230072 3633831 4037590 4845108 6056385 7267662 8075180 9690216 12112770 14535324 16150360 18169155 24225540 29070648 36338310 48451080 72676620 145353240