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12690432 = 2103617
BaseRepresentation
bin110000011010…
…010000000000
3212212202000000
4300122100000
511222043212
61132000000
7212603226
oct60322000
925782000
1012690432
117188567
124300000
132824341
141984b16
1511aa1dc
hexc1a400

12690432 has 154 divisors (see below), whose sum is σ = 40272678. Its totient is φ = 3981312.

The previous prime is 12690427. The next prime is 12690437. The reversal of 12690432 is 23409621.

It is an interprime number because it is at equal distance from previous prime (12690427) and next prime (12690437).

It can be written as a sum of positive squares in only one way, i.e., 11943936 + 746496 = 3456^2 + 864^2 .

It is a super-2 number, since 2×126904322 = 322094128693248, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 12690396 and 12690405.

It is not an unprimeable number, because it can be changed into a prime (12690437) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746488 + ... + 746504.

Almost surely, 212690432 is an apocalyptic number.

12690432 is a gapful number since it is divisible by the number (12) 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 12690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20136339).

12690432 is an abundant number, since it is smaller than the sum of its proper divisors (27582246).

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

12690432 is an frugal number, since it uses more digits than its factorization.

12690432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12690432 is about 3562.3632605337. The cubic root of 12690432 is about 233.2520496920.

The spelling of 12690432 in words is "twelve million, six hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 243 256 272 288 306 324 384 408 432 459 486 512 544 576 612 648 729 768 816 864 918 972 1024 1088 1152 1224 1296 1377 1458 1536 1632 1728 1836 1944 2176 2304 2448 2592 2754 2916 3072 3264 3456 3672 3888 4131 4352 4608 4896 5184 5508 5832 6528 6912 7344 7776 8262 8704 9216 9792 10368 11016 11664 12393 13056 13824 14688 15552 16524 17408 19584 20736 22032 23328 24786 26112 27648 29376 31104 33048 39168 41472 44064 46656 49572 52224 58752 62208 66096 78336 82944 88128 93312 99144 117504 124416 132192 156672 176256 186624 198288 235008 248832 264384 352512 373248 396576 470016 528768 705024 746496 793152 1057536 1410048 1586304 2115072 3172608 4230144 6345216 12690432