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70116192 = 253571127
BaseRepresentation
bin1000010110111…
…10001101100000
311212221021100000
410023132031200
5120422204232
610542500000
71510656246
oct413361540
9155837300
1070116192
1136640373
121b594600
13116ac693
149452796
15625027c
hex42de360

70116192 has 144 divisors (see below), whose sum is σ = 211341312. Its totient is φ = 22861440.

The previous prime is 70116181. The next prime is 70116199. The reversal of 70116192 is 29161107.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70116199) 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, 552033 + ... + 552159.

It is an arithmetic number, because the mean of its divisors is an integer number (1467648).

Almost surely, 270116192 is an apocalyptic number.

70116192 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70116192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

70116192 is an abundant number, since it is smaller than the sum of its proper divisors (141225120).

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

70116192 is a wasteful number, since it uses less digits than its factorization.

70116192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 70116192 is about 8373.5411863799. The cubic root of 70116192 is about 412.3564326830.

Adding to 70116192 its reverse (29161107), we get a palindrome (99277299).

It can be divided in two parts, 7011 and 6192, that added together give a triangular number (13203 = T162).

The spelling of 70116192 in words is "seventy million, one hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 127 142 144 162 213 216 243 254 284 288 324 381 426 432 486 508 568 639 648 762 852 864 972 1016 1136 1143 1278 1296 1524 1704 1917 1944 2032 2272 2286 2556 2592 3048 3408 3429 3834 3888 4064 4572 5112 5751 6096 6816 6858 7668 7776 9017 9144 10224 10287 11502 12192 13716 15336 17253 18034 18288 20448 20574 23004 27051 27432 30672 30861 34506 36068 36576 41148 46008 54102 54864 61344 61722 69012 72136 81153 82296 92016 108204 109728 123444 138024 144272 162306 164592 184032 216408 243459 246888 276048 288544 324612 329184 432816 486918 493776 552096 649224 730377 865632 973836 987552 1298448 1460754 1947672 2191131 2596896 2921508 3895344 4382262 5843016 7790688 8764524 11686032 17529048 23372064 35058096 70116192