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89730540 = 223251926237
BaseRepresentation
bin1010101100100…
…10110111101100
320020211210011100
411112102313230
5140432334130
612523123100
72136461034
oct526226754
9206753140
1089730540
1146717979
1226073490
13157893c3
14bcba8c4
157d26c60
hex5592dec

89730540 has 72 divisors (see below), whose sum is σ = 286518960. Its totient is φ = 22667904.

The previous prime is 89730503. The next prime is 89730541. The reversal of 89730540 is 4503798.

89730540 is a `hidden beast` number, since 89 + 7 + 30 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 89730495 and 89730504.

It is not an unprimeable number, because it can be changed into a prime (89730541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9699 + ... + 16538.

It is an arithmetic number, because the mean of its divisors is an integer number (3979430).

Almost surely, 289730540 is an apocalyptic number.

It is an amenable number.

89730540 is an abundant number, since it is smaller than the sum of its proper divisors (196788420).

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

89730540 is a wasteful number, since it uses less digits than its factorization.

89730540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26271 (or 26266 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 89730540 is about 9472.6205455513. The cubic root of 89730540 is about 447.6927833684.

The spelling of 89730540 in words is "eighty-nine million, seven hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 26237 52474 78711 104948 131185 157422 236133 262370 314844 393555 472266 498503 524740 787110 944532 997006 1180665 1495509 1574220 1994012 2361330 2492515 2991018 4486527 4722660 4985030 5982036 7477545 8973054 9970060 14955090 17946108 22432635 29910180 44865270 89730540