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146120744 = 23731147103
BaseRepresentation
bin10001011010110…
…10000000101000
3101011221200222102
420231122000220
5244401330434
622255512532
73423002000
oct1055320050
9334850872
10146120744
1175532750
1240b28748
13243712a3
1415599000
15cc6507e
hex8b5a028

146120744 has 128 divisors (see below), whose sum is σ = 359424000. Its totient is φ = 55177920.

The previous prime is 146120717. The next prime is 146120747. The reversal of 146120744 is 447021641.

It is a happy number.

It is a super-2 number, since 2×1461207442 = 42702543654227072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146120747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1418597 + ... + 1418699.

It is an arithmetic number, because the mean of its divisors is an integer number (2808000).

Almost surely, 2146120744 is an apocalyptic number.

146120744 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 146120744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712000).

146120744 is an abundant number, since it is smaller than the sum of its proper divisors (213303256).

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

146120744 is a wasteful number, since it uses less digits than its factorization.

146120744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 146120744 is about 12088.0413632648. The cubic root of 146120744 is about 526.7088612957.

The spelling of 146120744 in words is "one hundred forty-six million, one hundred twenty thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 47 49 56 77 88 94 98 103 154 188 196 206 308 329 343 376 392 412 517 539 616 658 686 721 824 1034 1078 1133 1316 1372 1442 2068 2156 2266 2303 2632 2744 2884 3619 3773 4136 4312 4532 4606 4841 5047 5768 7238 7546 7931 9064 9212 9682 10094 14476 15092 15862 16121 18424 19364 20188 25333 28952 30184 31724 32242 33887 35329 38728 40376 50666 53251 55517 63448 64484 67774 70658 101332 106502 111034 128968 135548 141316 177331 202664 213004 222068 237209 271096 282632 354662 372757 388619 426008 444136 474418 709324 745514 777238 948836 1418648 1491028 1554476 1660463 1897672 2609299 2982056 3108952 3320926 5218598 6641852 10437196 13283704 18265093 20874392 36530186 73060372 146120744