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145915660 = 225116183131
BaseRepresentation
bin10001011001001…
…11111100001100
3101011120021122201
420230213330030
5244323300120
622251251244
73421156042
oct1054477414
9334507581
10145915660
1175402660
1240a49b24
13242cbb37
1415544392
15cc2440a
hex8b27f0c

145915660 has 96 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 51168000.

The previous prime is 145915633. The next prime is 145915661. The reversal of 145915660 is 66519541.

145915660 = T229 + T230 + ... + T960.

145915660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145915661) 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, 1113795 + ... + 1113925.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2145915660 is an apocalyptic number.

145915660 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 145915660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

145915660 is an abundant number, since it is smaller than the sum of its proper divisors (200562164).

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

145915660 is a wasteful number, since it uses less digits than its factorization.

145915660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 145915660 is about 12079.5554553965. Note that the first 3 decimals coincide. The cubic root of 145915660 is about 526.4623297113.

The spelling of 145915660 in words is "one hundred forty-five million, nine hundred fifteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 83 110 122 131 166 220 244 262 305 332 415 524 610 655 671 830 913 1220 1310 1342 1441 1660 1826 2620 2684 2882 3355 3652 4565 5063 5764 6710 7205 7991 9130 10126 10873 13420 14410 15982 18260 20252 21746 25315 28820 31964 39955 43492 50630 54365 55693 79910 87901 101260 108730 111386 119603 159820 175802 217460 222772 239206 278465 351604 439505 478412 556930 598015 663253 879010 1113860 1196030 1326506 1758020 2392060 2653012 3316265 6632530 7295783 13265060 14591566 29183132 36478915 72957830 145915660