Search a number
-
+
70196112 = 24337139167
BaseRepresentation
bin1000010111100…
…01101110010000
311220002022222000
410023301232100
5120432233422
610544314000
71511441250
oct413615620
9156068860
1070196112
1136695418
121b612900
1311709b7c
149473960
156268cac
hex42f1b90

70196112 has 160 divisors (see below), whose sum is σ = 233318400. Its totient is φ = 19792512.

The previous prime is 70196107. The next prime is 70196117. The reversal of 70196112 is 21169107.

It is an interprime number because it is at equal distance from previous prime (70196107) and next prime (70196117).

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

It is not an unprimeable number, because it can be changed into a prime (70196117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420253 + ... + 420419.

It is an arithmetic number, because the mean of its divisors is an integer number (1458240).

Almost surely, 270196112 is an apocalyptic number.

70196112 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 70196112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116659200).

70196112 is an abundant number, since it is smaller than the sum of its proper divisors (163122288).

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

70196112 is a wasteful number, since it uses less digits than its factorization.

70196112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

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

The square root of 70196112 is about 8378.3120018295. The cubic root of 70196112 is about 412.5130442156.

It can be divided in two parts, 7019 and 6112, that added together give a palindrome (13131).

The spelling of 70196112 in words is "seventy million, one hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 139 144 167 168 189 216 252 278 334 336 378 417 432 501 504 556 668 756 834 973 1002 1008 1112 1169 1251 1336 1503 1512 1668 1946 2004 2224 2338 2502 2672 2919 3006 3024 3336 3507 3753 3892 4008 4509 4676 5004 5838 6012 6672 7014 7506 7784 8016 8757 9018 9352 10008 10521 11676 12024 14028 15012 15568 17514 18036 18704 20016 21042 23213 23352 24048 26271 28056 30024 31563 35028 36072 42084 46426 46704 52542 56112 60048 63126 69639 70056 72144 84168 92852 105084 126252 139278 140112 162491 168336 185704 208917 210168 252504 278556 324982 371408 417834 420336 487473 505008 557112 626751 649964 835668 974946 1114224 1253502 1299928 1462419 1671336 1949892 2507004 2599856 2924838 3342672 3899784 4387257 5014008 5849676 7799568 8774514 10028016 11699352 17549028 23398704 35098056 70196112