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145720944 = 2434229491
BaseRepresentation
bin10001010111110…
…00011001110000
3101011012101120000
420223320121300
5244301032234
622243150000
73416415255
oct1053703160
9334171500
10145720944
117528a336
1240975300
1324261315
14154d342c
15cbd6899
hex8af8670

145720944 has 100 divisors (see below), whose sum is σ = 424463160. Its totient is φ = 48263040.

The previous prime is 145720931. The next prime is 145720961. The reversal of 145720944 is 449027541.

It is a happy number.

It is a super-2 number, since 2×1457209442 = 42469187040502272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 145720899 and 145720908.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 296539 + ... + 297029.

Almost surely, 2145720944 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 145720944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212231580).

145720944 is an abundant number, since it is smaller than the sum of its proper divisors (278742216).

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

145720944 is a wasteful number, since it uses less digits than its factorization.

145720944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 145720944 is about 12071.4930311043. The cubic root of 145720944 is about 526.2280476359.

The spelling of 145720944 in words is "one hundred forty-five million, seven hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 229 324 432 458 491 648 687 916 982 1296 1374 1473 1832 1964 2061 2748 2946 3664 3928 4122 4419 5496 5892 6183 7856 8244 8838 10992 11784 12366 13257 16488 17676 18549 23568 24732 26514 32976 35352 37098 39771 49464 53028 70704 74196 79542 98928 106056 112439 148392 159084 212112 224878 296784 318168 337317 449756 636336 674634 899512 1011951 1349268 1799024 2023902 2698536 3035853 4047804 5397072 6071706 8095608 9107559 12143412 16191216 18215118 24286824 36430236 48573648 72860472 145720944