Search a number
-
+
1051404672 = 27319532719
BaseRepresentation
bin111110101010110…
…010100110000000
32201021101220001210
4332222302212000
54123124422142
6252155130120
735024535513
oct7652624600
92637356053
101051404672
1149a54398a
12254143940
13139a97a56
149d8ccd7a
156248749c
hex3eab2980

1051404672 has 128 divisors (see below), whose sum is σ = 2996352000. Its totient is φ = 325638144.

The previous prime is 1051404671. The next prime is 1051404701. The reversal of 1051404672 is 2764041501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10514046722 = 2210903568606855168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051404671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385329 + ... + 388047.

It is an arithmetic number, because the mean of its divisors is an integer number (23409000).

Almost surely, 21051404672 is an apocalyptic number.

1051404672 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 1051404672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498176000).

1051404672 is an abundant number, since it is smaller than the sum of its proper divisors (1944947328).

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

1051404672 is a wasteful number, since it uses less digits than its factorization.

1051404672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1051404672 is about 32425.3708074403. The cubic root of 1051404672 is about 1016.8493940605.

The spelling of 1051404672 in words is "one billion, fifty-one million, four hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 128 152 159 192 212 228 304 318 384 424 456 608 636 848 912 1007 1216 1272 1696 1824 2014 2432 2544 2719 3021 3392 3648 4028 5088 5438 6042 6784 7296 8056 8157 10176 10876 12084 16112 16314 20352 21752 24168 32224 32628 43504 48336 51661 64448 65256 87008 96672 103322 128896 130512 144107 154983 174016 193344 206644 261024 288214 309966 348032 386688 413288 432321 522048 576428 619932 826576 864642 1044096 1152856 1239864 1653152 1729284 2305712 2479728 2738033 3306304 3458568 4611424 4959456 5476066 6612608 6917136 8214099 9222848 9918912 10952132 13834272 16428198 18445696 19837824 21904264 27668544 32856396 43808528 55337088 65712792 87617056 131425584 175234112 262851168 350468224 525702336 1051404672