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145423080 = 233351112241
BaseRepresentation
bin10001010101011…
…11101011101000
3101010122020222000
420222233223220
5244212014310
622232531000
73414034665
oct1052575350
9333566860
10145423080
11750a6570
1240850a60
132418887a
1415456a6c
15cb784c0
hex8aafae8

145423080 has 128 divisors (see below), whose sum is σ = 528854400. Its totient is φ = 35251200.

The previous prime is 145423073. The next prime is 145423087. The reversal of 145423080 is 80324541.

145423080 is a `hidden beast` number, since 14 + 542 + 30 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (145423073) and next prime (145423087).

It is a super-2 number, since 2×1454230802 = 42295744393372800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (145423087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5760 + ... + 18000.

It is an arithmetic number, because the mean of its divisors is an integer number (4131675).

Almost surely, 2145423080 is an apocalyptic number.

145423080 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 145423080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264427200).

145423080 is an abundant number, since it is smaller than the sum of its proper divisors (383431320).

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

145423080 is a wasteful number, since it uses less digits than its factorization.

145423080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12272 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145423080 is about 12059.1492237222. The cubic root of 145423080 is about 525.8692538409.

The spelling of 145423080 in words is "one hundred forty-five million, four hundred twenty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 12241 24482 36723 48964 61205 73446 97928 110169 122410 134651 146892 183615 220338 244820 269302 293784 330507 367230 403953 440676 489640 538604 550845 661014 673255 734460 807906 881352 1077208 1101690 1211859 1322028 1346510 1468920 1615812 1652535 2019765 2203380 2423718 2644056 2693020 3231624 3305070 3635577 4039530 4406760 4847436 5386040 6059295 6610140 7271154 8079060 9694872 12118590 13220280 14542308 16158120 18177885 24237180 29084616 36355770 48474360 72711540 145423080