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1072072152 = 233338312959
BaseRepresentation
bin111111111001101…
…000010111011000
32202201021220112000
4333321220113120
54143422302102
6254214121000
735365314534
oct7771502730
92681256460
101072072152
1150017a748
1225b050160
13141152c28
14a254cbc4
15641bb01c
hex3fe685d8

1072072152 has 64 divisors (see below), whose sum is σ = 2985984000. Its totient is φ = 356396832.

The previous prime is 1072072147. The next prime is 1072072189. The reversal of 1072072152 is 2512702701.

It is a super-2 number, since 2×10720721522 = 2298677398187822208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76249 + ... + 89207.

It is an arithmetic number, because the mean of its divisors is an integer number (46656000).

Almost surely, 21072072152 is an apocalyptic number.

1072072152 is a gapful number since it is divisible by the number (12) 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 1072072152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492992000).

1072072152 is an abundant number, since it is smaller than the sum of its proper divisors (1913911848).

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

1072072152 is a wasteful number, since it uses less digits than its factorization.

1072072152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13357 (or 13347 counting only the distinct ones).

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

The square root of 1072072152 is about 32742.5129151689. The cubic root of 1072072152 is about 1023.4689502090.

Adding to 1072072152 its reverse (2512702701), we get a palindrome (3584774853).

The spelling of 1072072152 in words is "one billion, seventy-two million, seventy-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 383 766 1149 1532 2298 3064 3447 4596 6894 9192 10341 12959 13788 20682 25918 27576 38877 41364 51836 77754 82728 103672 116631 155508 233262 311016 349893 466524 699786 933048 1399572 2799144 4963297 9926594 14889891 19853188 29779782 39706376 44669673 59559564 89339346 119119128 134009019 178678692 268018038 357357384 536036076 1072072152