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145213796 = 227131731757
BaseRepresentation
bin10001010011111…
…00100101100100
3101010020121212202
420221330211210
5244133320141
622224234032
73412203560
oct1051744544
9333217782
10145213796
1174a73302
124076b918
1324114530
14154006a0
15cb3649b
hex8a7c964

145213796 has 96 divisors (see below), whose sum is σ = 342300672. Its totient is φ = 52254720.

The previous prime is 145213793. The next prime is 145213811. The reversal of 145213796 is 697312541.

145213796 is digitally balanced in base 3, 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 (145213793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191450 + ... + 192206.

It is an arithmetic number, because the mean of its divisors is an integer number (3565632).

Almost surely, 2145213796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145213796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171150336).

145213796 is an abundant number, since it is smaller than the sum of its proper divisors (197086876).

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

145213796 is a wasteful number, since it uses less digits than its factorization.

145213796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 827 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 145213796 is about 12050.4687045774. The cubic root of 145213796 is about 525.6168664425.

The spelling of 145213796 in words is "one hundred forty-five million, two hundred thirteen thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 13 14 17 26 28 31 34 52 62 68 91 119 124 182 217 221 238 364 403 434 442 476 527 757 806 868 884 1054 1514 1547 1612 2108 2821 3028 3094 3689 5299 5642 6188 6851 7378 9841 10598 11284 12869 13702 14756 19682 21196 23467 25738 27404 39364 46934 47957 51476 68887 90083 93868 95914 137774 164269 167297 180166 191828 275548 305071 328538 334594 360332 398939 610142 657076 669188 797878 1171079 1220284 1595756 2135497 2342158 2792573 4270994 4684316 5186207 5585146 8541988 10372414 11170292 20744828 36303449 72606898 145213796