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45601380 = 2235511853
BaseRepresentation
bin1010110111110…
…1001001100100
310011210210100000
42231331021210
543133221010
64305221300
71062414426
oct255751144
9104723300
1045601380
1123816aa0
1213331830
1395a8286
1460b0816
15400b7c0
hex2b7d264

45601380 has 144 divisors (see below), whose sum is σ = 156671424. Its totient is φ = 11041920.

The previous prime is 45601379. The next prime is 45601393. The reversal of 45601380 is 8310654.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53034 + ... + 53886.

It is an arithmetic number, because the mean of its divisors is an integer number (1087996).

Almost surely, 245601380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45601380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78335712).

45601380 is an abundant number, since it is smaller than the sum of its proper divisors (111070044).

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

45601380 is a wasteful number, since it uses less digits than its factorization.

45601380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45601380 is about 6752.8793858620. The cubic root of 45601380 is about 357.2668014761.

The spelling of 45601380 in words is "forty-five million, six hundred one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 853 891 972 990 1188 1215 1485 1620 1706 1782 1980 2430 2559 2673 2970 3412 3564 4265 4455 4860 5118 5346 5940 7677 8530 8910 9383 10236 10692 12795 13365 15354 17060 17820 18766 23031 25590 26730 28149 30708 37532 38385 46062 46915 51180 53460 56298 69093 76770 84447 92124 93830 112596 115155 138186 140745 153540 168894 187660 207279 230310 253341 276372 281490 337788 345465 414558 422235 460620 506682 562980 690930 760023 829116 844470 1013364 1036395 1266705 1381860 1520046 1688940 2072790 2280069 2533410 3040092 3800115 4145580 4560138 5066820 7600230 9120276 11400345 15200460 22800690 45601380