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74107152 = 24327371987
BaseRepresentation
bin1000110101011…
…00100100010000
312011110000220100
410122230210100
5122432412102
611204212400
71556620560
oct432544420
9164400810
1074107152
1138916889
122099a100
13124790b2
149bb0da0
15678ca1c
hex46ac910

74107152 has 120 divisors (see below), whose sum is σ = 243553856. Its totient is φ = 20590848.

The previous prime is 74107147. The next prime is 74107153. The reversal of 74107152 is 25170147.

It is a super-2 number, since 2×741071522 = 10983739955102208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (74107153) 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, 36303 + ... + 38289.

Almost surely, 274107152 is an apocalyptic number.

74107152 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 74107152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121776928).

74107152 is an abundant number, since it is smaller than the sum of its proper divisors (169446704).

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

74107152 is a wasteful number, since it uses less digits than its factorization.

74107152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 74107152 is about 8608.5510976006. The cubic root of 74107152 is about 420.0361873582.

Adding to 74107152 its reverse (25170147), we get a palindrome (99277299).

The spelling of 74107152 in words is "seventy-four million, one hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1036 1332 1554 1776 1987 2072 2331 2664 3108 3974 4144 4662 5328 5961 6216 7948 9324 11922 12432 13909 15896 17883 18648 23844 27818 31792 35766 37296 41727 47688 55636 71532 73519 83454 95376 111272 125181 143064 147038 166908 220557 222544 250362 286128 294076 333816 441114 500724 514633 588152 661671 667632 882228 1001448 1029266 1176304 1323342 1543899 1764456 2002896 2058532 2646684 3087798 3528912 4117064 4631697 5293368 6175596 8234128 9263394 10586736 12351192 18526788 24702384 37053576 74107152