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88688940 = 223571109191
BaseRepresentation
bin1010100100101…
…00100100101100
320011212212100120
411102110210230
5140201021230
612444524540
72124562224
oct522244454
9204785316
1088688940
114607634a
1225850750
13154b3282
14bac9084
157bbd310
hex549492c

88688940 has 96 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 22982400.

The previous prime is 88688933. The next prime is 88688947. The reversal of 88688940 is 4988688.

88688940 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (88688933) and next prime (88688947).

88688940 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (88688947) 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 31 ways as a sum of consecutive naturals, for example, 464245 + ... + 464435.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 288688940 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 88688940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

88688940 is an abundant number, since it is smaller than the sum of its proper divisors (166778580).

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

88688940 is a wasteful number, since it uses less digits than its factorization.

88688940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 88688940 is about 9417.4805547981. The cubic root of 88688940 is about 445.9537512286.

The spelling of 88688940 in words is "eighty-eight million, six hundred eighty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 109 142 191 213 218 284 327 355 382 426 436 545 573 654 710 764 852 955 1065 1090 1146 1308 1420 1635 1910 2130 2180 2292 2865 3270 3820 4260 5730 6540 7739 11460 13561 15478 20819 23217 27122 30956 38695 40683 41638 46434 54244 62457 67805 77390 81366 83276 92868 104095 116085 124914 135610 154780 162732 203415 208190 232170 249828 271220 312285 406830 416380 464340 624570 813660 1249140 1478149 2956298 4434447 5912596 7390745 8868894 14781490 17737788 22172235 29562980 44344470 88688940