Search a number
-
+
70018648 = 2373171979
BaseRepresentation
bin1000010110001…
…10011001011000
311212202022112021
410023012121120
5120411044043
610540424224
71510102000
oct413063130
9155668467
1070018648
1136584057
121b548074
131167716b
149429000
1562313ed
hex42c6658

70018648 has 128 divisors (see below), whose sum is σ = 172800000. Its totient is φ = 26417664.

The previous prime is 70018639. The next prime is 70018651. The reversal of 70018648 is 84681007.

It is a happy number.

It is a super-2 number, since 2×700186482 = 9805222135495808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 886273 + ... + 886351.

It is an arithmetic number, because the mean of its divisors is an integer number (1350000).

Almost surely, 270018648 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 70018648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400000).

70018648 is an abundant number, since it is smaller than the sum of its proper divisors (102781352).

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

70018648 is a wasteful number, since it uses less digits than its factorization.

70018648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 70018648 is about 8367.7146222849. The cubic root of 70018648 is about 412.1651237450.

The spelling of 70018648 in words is "seventy million, eighteen thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 49 56 68 76 79 98 119 133 136 152 158 196 238 266 316 323 343 392 476 532 553 632 646 686 833 931 952 1064 1106 1292 1343 1372 1501 1666 1862 2212 2261 2584 2686 2744 3002 3332 3724 3871 4424 4522 5372 5831 6004 6517 6664 7448 7742 9044 9401 10507 10744 11662 12008 13034 15484 15827 18088 18802 21014 23324 25517 26068 27097 30968 31654 37604 42028 46648 51034 52136 54194 63308 65807 73549 75208 84056 102068 108388 110789 126616 131614 147098 178619 204136 216776 221578 263228 294196 357238 443156 460649 514843 526456 588392 714476 886312 921298 1029686 1250333 1428952 1842596 2059372 2500666 3685192 4118744 5001332 8752331 10002664 17504662 35009324 70018648