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145717460 = 225719291889
BaseRepresentation
bin10001010111101…
…11100011010100
3101011012012202222
420223313203110
5244300424320
622243121512
73416402150
oct1053674324
9334165688
10145717460
1175287759
1240973298
132425c865
14154d2060
15cbd5825
hex8af78d4

145717460 has 96 divisors (see below), whose sum is σ = 381024000. Its totient is φ = 45674496.

The previous prime is 145717459. The next prime is 145717477. The reversal of 145717460 is 64717541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 145717460.

It is a congruent number.

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, 76196 + ... + 78084.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2145717460 is an apocalyptic number.

145717460 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 145717460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

145717460 is an abundant number, since it is smaller than the sum of its proper divisors (235306540).

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

145717460 is a wasteful number, since it uses less digits than its factorization.

145717460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 145717460 is about 12071.3487233200. The cubic root of 145717460 is about 526.2238537909.

The spelling of 145717460 in words is "one hundred forty-five million, seven hundred seventeen thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 29 35 38 58 70 76 95 116 133 140 145 190 203 266 290 380 406 532 551 580 665 812 1015 1102 1330 1889 2030 2204 2660 2755 3778 3857 4060 5510 7556 7714 9445 11020 13223 15428 18890 19285 26446 35891 37780 38570 52892 54781 66115 71782 77140 109562 132230 143564 179455 219124 251237 264460 273905 358910 383467 502474 547810 717820 766934 1004948 1040839 1095620 1256185 1533868 1917335 2081678 2512370 3834670 4163356 5024740 5204195 7285873 7669340 10408390 14571746 20816780 29143492 36429365 72858730 145717460