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80030916 = 223472712
BaseRepresentation
bin1001100010100…
…10110011000100
312120120222210000
410301102303010
5130441442131
611535201300
71661152200
oct461226304
9176528700
1080030916
11411a2459
1222976230
1313771494
14a8b3b00
15705cce6
hex4c52cc4

80030916 has 135 divisors (see below), whose sum is σ = 246850527. Its totient is φ = 22543920.

The previous prime is 80030903. The next prime is 80030927. The reversal of 80030916 is 61903008.

The square root of 80030916 is 8946.

It is a perfect power (a square), and thus also a powerful number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 80030916.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 1127161 + ... + 1127231.

Almost surely, 280030916 is an apocalyptic number.

80030916 is the 8946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80030916

80030916 is an abundant number, since it is smaller than the sum of its proper divisors (166819611).

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

80030916 is a wasteful number, since it uses less digits than its factorization.

80030916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 80030916 is about 430.9424362770.

Multiplying 80030916 by its product of nonzero digits (1296), we get a square (103720067136 = 3220562).

The spelling of 80030916 in words is "eighty million, thirty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 71 81 84 98 108 126 142 147 162 189 196 213 252 284 294 324 378 426 441 497 567 588 639 756 852 882 994 1134 1278 1323 1491 1764 1917 1988 2268 2556 2646 2982 3479 3834 3969 4473 5041 5292 5751 5964 6958 7668 7938 8946 10082 10437 11502 13419 13916 15123 15876 17892 20164 20874 23004 26838 30246 31311 35287 40257 41748 45369 53676 60492 62622 70574 80514 90738 93933 105861 125244 136107 141148 161028 181476 187866 211722 247009 272214 281799 317583 375732 408321 423444 494018 544428 563598 635166 741027 816642 952749 988036 1127196 1270332 1482054 1633284 1905498 2223081 2858247 2964108 3810996 4446162 5716494 6669243 8892324 11432988 13338486 20007729 26676972 40015458 80030916