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12152970 = 23351923103
BaseRepresentation
bin101110010111…
…000010001010
3211212102202000
4232113002022
511102343340
61112251430
7205204254
oct56270212
924772660
1012152970
116950785
1240a0b76
13269680b
141884cd4
151100d30
hexb9708a

12152970 has 128 divisors (see below), whose sum is σ = 35942400. Its totient is φ = 2908224.

The previous prime is 12152941. The next prime is 12152971. The reversal of 12152970 is 7925121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12152971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117939 + ... + 118041.

It is an arithmetic number, because the mean of its divisors is an integer number (280800).

Almost surely, 212152970 is an apocalyptic number.

12152970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12152970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971200).

12152970 is an abundant number, since it is smaller than the sum of its proper divisors (23789430).

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

12152970 is a wasteful number, since it uses less digits than its factorization.

12152970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 12152970 is about 3486.1110137229. Note that the first 3 decimals coincide. The cubic root of 12152970 is about 229.9115602003.

The spelling of 12152970 in words is "twelve million, one hundred fifty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 23 27 30 38 45 46 54 57 69 90 95 103 114 115 135 138 171 190 206 207 230 270 285 309 342 345 414 437 513 515 570 618 621 690 855 874 927 1026 1030 1035 1242 1311 1545 1710 1854 1957 2070 2185 2369 2565 2622 2781 3090 3105 3914 3933 4370 4635 4738 5130 5562 5871 6210 6555 7107 7866 9270 9785 11742 11799 11845 13110 13905 14214 17613 19570 19665 21321 23598 23690 27810 29355 35226 35535 39330 42642 45011 52839 58710 58995 63963 71070 88065 90022 105678 106605 117990 127926 135033 176130 213210 225055 264195 270066 319815 405099 450110 528390 639630 675165 810198 1215297 1350330 2025495 2430594 4050990 6076485 12152970