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70372080 = 24325432273
BaseRepresentation
bin1000011000111…
…00101011110000
311220102021100100
410030130223300
5121003401310
610552152400
71513103262
oct414345360
9156367310
1070372080
11367a5649
121b698700
131176bcac
1494bbb32
1562a0ec0
hex431caf0

70372080 has 120 divisors (see below), whose sum is σ = 241935408. Its totient is φ = 18321408.

The previous prime is 70372079. The next prime is 70372091. The reversal of 70372080 is 8027307.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29824 + ... + 32096.

Almost surely, 270372080 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 70372080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120967704).

70372080 is an abundant number, since it is smaller than the sum of its proper divisors (171563328).

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

70372080 is a wasteful number, since it uses less digits than its factorization.

70372080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 70372080 is about 8388.8068281490. The cubic root of 70372080 is about 412.8574532436.

Adding to 70372080 its reverse (8027307), we get a palindrome (78399387).

The spelling of 70372080 in words is "seventy million, three hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2273 2580 3096 3440 3870 4546 5160 6192 6819 7740 9092 10320 11365 13638 15480 18184 20457 22730 27276 30960 34095 36368 40914 45460 54552 68190 81828 90920 97739 102285 109104 136380 163656 181840 195478 204570 272760 293217 327312 390956 409140 488695 545520 586434 781912 818280 879651 977390 1172868 1466085 1563824 1636560 1759302 1954780 2345736 2932170 3518604 3909560 4398255 4691472 5864340 7037208 7819120 8796510 11728680 14074416 17593020 23457360 35186040 70372080