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145298820 = 223523211499
BaseRepresentation
bin10001010100100…
…01010110000100
3101010101221111210
420222101112010
5244144030240
622230131420
73413006502
oct1052212604
9333357453
10145298820
1175021177
12407b0b70
1324144144
1415423672
15cb51780
hex8a91584

145298820 has 96 divisors (see below), whose sum is σ = 427392000. Its totient is φ = 36812160.

The previous prime is 145298809. The next prime is 145298861. The reversal of 145298820 is 28892541.

It is a super-2 number, since 2×1452988202 = 42223494186784800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290931 + ... + 291429.

It is an arithmetic number, because the mean of its divisors is an integer number (4452000).

Almost surely, 2145298820 is an apocalyptic number.

145298820 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 145298820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213696000).

145298820 is an abundant number, since it is smaller than the sum of its proper divisors (282093180).

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

145298820 is a wasteful number, since it uses less digits than its factorization.

145298820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 145298820 is about 12053.9960179187. The cubic root of 145298820 is about 525.7194309150.

The spelling of 145298820 in words is "one hundred forty-five million, two hundred ninety-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 211 230 276 345 422 460 499 633 690 844 998 1055 1266 1380 1497 1996 2110 2495 2532 2994 3165 4220 4853 4990 5988 6330 7485 9706 9980 11477 12660 14559 14970 19412 22954 24265 29118 29940 34431 45908 48530 57385 58236 68862 72795 97060 105289 114770 137724 145590 172155 210578 229540 291180 315867 344310 421156 526445 631734 688620 1052890 1263468 1579335 2105780 2421647 3158670 4843294 6317340 7264941 9686588 12108235 14529882 24216470 29059764 36324705 48432940 72649410 145298820