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145025936 = 241119311399
BaseRepresentation
bin10001010010011…
…10101110010000
3101002220002011222
420221032232100
5244111312221
622220224212
73410462066
oct1051165620
9332802158
10145025936
1174955150
124069b068
1324079b83
1415392036
15caea9ab
hex8a4eb90

145025936 has 80 divisors (see below), whose sum is σ = 333312000. Its totient is φ = 60393600.

The previous prime is 145025927. The next prime is 145025939. The reversal of 145025936 is 639520541.

It is a super-2 number, since 2×1450259362 = 42065044225352192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145025896 and 145025905.

It is not an unprimeable number, because it can be changed into a prime (145025939) 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, 102965 + ... + 104363.

It is an arithmetic number, because the mean of its divisors is an integer number (4166400).

Almost surely, 2145025936 is an apocalyptic number.

145025936 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 145025936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166656000).

145025936 is an abundant number, since it is smaller than the sum of its proper divisors (188286064).

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

145025936 is a wasteful number, since it uses less digits than its factorization.

145025936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 145025936 is about 12042.6714644218. The cubic root of 145025936 is about 525.3901088428.

The spelling of 145025936 in words is "one hundred forty-five million, twenty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 31 38 44 62 76 88 124 152 176 209 248 304 341 418 496 589 682 836 1178 1364 1399 1672 2356 2728 2798 3344 4712 5456 5596 6479 9424 11192 12958 15389 22384 25916 26581 30778 43369 51832 53162 61556 86738 103664 106324 123112 173476 212648 246224 292391 346952 425296 477059 584782 693904 824011 954118 1169564 1648022 1908236 2339128 3296044 3816472 4678256 6592088 7632944 9064121 13184176 18128242 36256484 72512968 145025936