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145245360 = 24351323581
BaseRepresentation
bin10001010100001…
…00010010110000
3101010022020011210
420222010102300
5244140322420
622225040120
73412364601
oct1052042260
9333266153
10145245360
1174a94a97
1240786040
1324125a00
141540bda8
15cb409e0
hex8a844b0

145245360 has 120 divisors (see below), whose sum is σ = 487696464. Its totient is φ = 35742720.

The previous prime is 145245343. The next prime is 145245379. The reversal of 145245360 is 63542541.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 38770 + ... + 42350.

Almost surely, 2145245360 is an apocalyptic number.

145245360 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 145245360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243848232).

145245360 is an abundant number, since it is smaller than the sum of its proper divisors (342451104).

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

145245360 is a wasteful number, since it uses less digits than its factorization.

145245360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 145245360 is about 12051.7782920198. The cubic root of 145245360 is about 525.6549467749.

The spelling of 145245360 in words is "one hundred forty-five million, two hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 3581 4056 5070 6760 7162 8112 10140 10743 13520 14324 17905 20280 21486 28648 35810 40560 42972 46553 53715 57296 71620 85944 93106 107430 139659 143240 171888 186212 214860 232765 279318 286480 372424 429720 465530 558636 605189 698295 744848 859440 931060 1117272 1210378 1396590 1815567 1862120 2234544 2420756 2793180 3025945 3631134 3724240 4841512 5586360 6051890 7262268 9077835 9683024 11172720 12103780 14524536 18155670 24207560 29049072 36311340 48415120 72622680 145245360