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145080656 = 2471979863
BaseRepresentation
bin10001010010111…
…00000101010000
3101002222212020122
420221130011100
5244120040111
622221325412
73411110450
oct1051340520
9332885218
10145080656
1174992276
1240706868
1324098a56
14153a7d60
15cb0bcdb
hex8a5c150

145080656 has 80 divisors (see below), whose sum is σ = 342835200. Its totient is φ = 58091904.

The previous prime is 145080653. The next prime is 145080659. The reversal of 145080656 is 656080541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (145080653) and next prime (145080659).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145080653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167681 + ... + 168543.

It is an arithmetic number, because the mean of its divisors is an integer number (4285440).

Almost surely, 2145080656 is an apocalyptic number.

145080656 is a gapful number since it is divisible by the number (16) 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 145080656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

145080656 is an abundant number, since it is smaller than the sum of its proper divisors (197754544).

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

145080656 is a wasteful number, since it uses less digits than its factorization.

145080656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 145080656 is about 12044.9431713064. The cubic root of 145080656 is about 525.4561791667.

The spelling of 145080656 in words is "one hundred forty-five million, eighty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 79 112 133 152 158 266 304 316 532 553 632 863 1064 1106 1264 1501 1726 2128 2212 3002 3452 4424 6004 6041 6904 8848 10507 12008 12082 13808 16397 21014 24016 24164 32794 42028 48328 65588 68177 84056 96656 114779 131176 136354 168112 229558 262352 272708 459116 477239 545416 918232 954478 1090832 1295363 1836464 1908956 2590726 3817912 5181452 7635824 9067541 10362904 18135082 20725808 36270164 72540328 145080656