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81201276 = 2232132931193
BaseRepresentation
bin1001101011100…
…00100001111100
312122210110012200
410311300201330
5131241420101
612020231500
72004125262
oct465604174
9178713180
1081201276
11419217a2
122323b590
1313a910c0
14aada432
1571de986
hex4d7087c

81201276 has 144 divisors (see below), whose sum is σ = 237269760. Its totient is φ = 23224320.

The previous prime is 81201271. The next prime is 81201283. The reversal of 81201276 is 67210218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81201271) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 420636 + ... + 420828.

Almost surely, 281201276 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 81201276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118634880).

81201276 is an abundant number, since it is smaller than the sum of its proper divisors (156068484).

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

81201276 is a wasteful number, since it uses less digits than its factorization.

81201276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 81201276 is about 9011.1750621104. The cubic root of 81201276 is about 433.0329576473.

The spelling of 81201276 in words is "eighty-one million, two hundred one thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 31 36 39 52 58 62 78 87 93 116 117 124 156 174 186 193 234 261 279 348 372 377 386 403 468 522 558 579 754 772 806 899 1044 1116 1131 1158 1209 1508 1612 1737 1798 2262 2316 2418 2509 2697 3393 3474 3596 3627 4524 4836 5018 5394 5597 5983 6786 6948 7254 7527 8091 10036 10788 11194 11687 11966 13572 14508 15054 16182 16791 17949 22388 22581 23374 23932 30108 32364 33582 35061 35898 45162 46748 50373 53847 67164 70122 71796 72761 77779 90324 100746 105183 107694 140244 145522 155558 173507 201492 210366 215388 218283 233337 291044 311116 347014 420732 436566 466674 520521 654849 694028 700011 873132 933348 1041042 1309698 1400022 1561563 2082084 2255591 2619396 2800044 3123126 4511182 6246252 6766773 9022364 13533546 20300319 27067092 40600638 81201276