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69995016 = 23347131187
BaseRepresentation
bin1000010110000…
…00101000001000
311212201010010000
410023000220020
5120404320031
610540123000
71506643050
oct413005010
9155633100
1069995016
1136568323
121b536460
1311669490
149420560
1562293e6
hex42c0a08

69995016 has 160 divisors (see below), whose sum is σ = 241496640. Its totient is φ = 18444672.

The previous prime is 69995011. The next prime is 69995021. The reversal of 69995016 is 61059996.

It is an interprime number because it is at equal distance from previous prime (69995011) and next prime (69995021).

It is not an unprimeable number, because it can be changed into a prime (69995011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58375 + ... + 59561.

It is an arithmetic number, because the mean of its divisors is an integer number (1509354).

Almost surely, 269995016 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 69995016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120748320).

69995016 is an abundant number, since it is smaller than the sum of its proper divisors (171501624).

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

69995016 is a wasteful number, since it uses less digits than its factorization.

69995016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 69995016 is about 8366.3024090694. The cubic root of 69995016 is about 412.1187485649.

The spelling of 69995016 in words is "sixty-nine million, nine hundred ninety-five thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1187 1404 1512 1638 2106 2184 2268 2374 2457 2808 3276 3561 4212 4536 4748 4914 6552 7122 7371 8309 8424 9496 9828 10683 14244 14742 15431 16618 19656 21366 24927 28488 29484 30862 32049 33236 42732 46293 49854 58968 61724 64098 66472 74781 85464 92586 96147 99708 108017 123448 128196 138879 149562 185172 192294 199416 216034 224343 256392 277758 299124 324051 370344 384588 416637 432068 448686 555516 598248 648102 673029 769176 833274 864136 897372 972153 1111032 1249911 1296204 1346058 1666548 1794744 1944306 2499822 2592408 2692116 2916459 3333096 3888612 4999644 5384232 5832918 7777224 8749377 9999288 11665836 17498754 23331672 34997508 69995016