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145253724 = 223711231461
BaseRepresentation
bin10001010100001…
…10010101011100
3101010022122122120
420222012111130
5244141104344
622225142540
73412431150
oct1052062534
9333278576
10145253724
1174aa0300
124078aa50
1324129765
1415411060
15cb43219
hex8a8655c

145253724 has 144 divisors (see below), whose sum is σ = 440444928. Its totient is φ = 36432000.

The previous prime is 145253711. The next prime is 145253743. The reversal of 145253724 is 427352541.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314854 + ... + 315314.

Almost surely, 2145253724 is an apocalyptic number.

145253724 is a gapful number since it is divisible by the number (14) 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 145253724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220222464).

145253724 is an abundant number, since it is smaller than the sum of its proper divisors (295191204).

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

145253724 is a wasteful number, since it uses less digits than its factorization.

145253724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 515 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 145253724 is about 12052.1252897570. The cubic root of 145253724 is about 525.6650365834.

The spelling of 145253724 in words is "one hundred forty-five million, two hundred fifty-three thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 121 124 132 154 186 217 231 242 308 341 363 372 434 461 462 484 651 682 726 847 868 922 924 1023 1302 1364 1383 1452 1694 1844 2046 2387 2541 2604 2766 3227 3388 3751 4092 4774 5071 5082 5532 6454 7161 7502 9548 9681 10142 10164 11253 12908 14291 14322 15004 15213 19362 20284 22506 26257 28582 28644 30426 35497 38724 42873 45012 52514 55781 57164 60852 70994 78771 85746 100037 105028 106491 111562 141988 157201 157542 167343 171492 200074 212982 223124 300111 314402 315084 334686 390467 400148 425964 471603 600222 628804 669372 780934 943206 1100407 1171401 1200444 1561868 1729211 1886412 2200814 2342802 3301221 3458422 4401628 4685604 5187633 6602442 6916844 10375266 12104477 13204884 20750532 24208954 36313431 48417908 72626862 145253724