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145370736 = 24327294973
BaseRepresentation
bin10001010101000…
…10111001110000
3101010112121011100
420222202321300
5244203330421
622231444400
73413426250
oct1052427160
9333477140
10145370736
1175070205
1240826700
132416aab4
1415441960
15cb67c26
hex8aa2e70

145370736 has 120 divisors (see below), whose sum is σ = 481085280. Its totient is φ = 40094208.

The previous prime is 145370713. The next prime is 145370737. The reversal of 145370736 is 637073541.

It is a super-2 number, since 2×1453707362 = 42265301770363392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145370736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145370737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26746 + ... + 31718.

It is an arithmetic number, because the mean of its divisors is an integer number (4009044).

Almost surely, 2145370736 is an apocalyptic number.

145370736 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 145370736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240542640).

145370736 is an abundant number, since it is smaller than the sum of its proper divisors (335714544).

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

145370736 is a wasteful number, since it uses less digits than its factorization.

145370736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 145370736 is about 12056.9787260325. The cubic root of 145370736 is about 525.8061519740.

It can be divided in two parts, 145 and 370736, that added together give a square (370881 = 6092).

The spelling of 145370736 in words is "one hundred forty-five million, three hundred seventy thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 4176 4872 4973 7308 9744 9946 14616 14919 19892 29232 29838 34811 39784 44757 59676 69622 79568 89514 104433 119352 139244 144217 179028 208866 238704 278488 288434 313299 358056 417732 432651 556976 576868 626598 716112 835464 865302 1009519 1153736 1253196 1297953 1670928 1730604 2019038 2307472 2506392 2595906 3028557 3461208 4038076 5012784 5191812 6057114 6922416 8076152 9085671 10383624 12114228 16152304 18171342 20767248 24228456 36342684 48456912 72685368 145370736