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1126962048 = 27319831861
BaseRepresentation
bin100001100101100…
…0001001110000000
32220112120121022010
41003023001032000
54302000241143
6303454412520
736633006432
oct10313011600
92815517263
101126962048
115291602a3
12275501140
1314c630c64
14a995a652
1568e0ea33
hex432c1380

1126962048 has 128 divisors (see below), whose sum is σ = 3190723200. Its totient is φ = 351406080.

The previous prime is 1126962047. The next prime is 1126962071. The reversal of 1126962048 is 8402696211.

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

It is a junction number, because it is equal to n+sod(n) for n = 1126961997 and 1126962015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126962047) 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, 604638 + ... + 606498.

It is an arithmetic number, because the mean of its divisors is an integer number (24927525).

Almost surely, 21126962048 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 1126962048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595361600).

1126962048 is an abundant number, since it is smaller than the sum of its proper divisors (2063761152).

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

1126962048 is a wasteful number, since it uses less digits than its factorization.

1126962048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1126962048 is about 33570.2554056415. The cubic root of 1126962048 is about 1040.6461861913.

The spelling of 1126962048 in words is "one billion, one hundred twenty-six million, nine hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 83 96 114 128 152 166 192 228 249 304 332 384 456 498 608 664 912 996 1216 1328 1577 1824 1861 1992 2432 2656 3154 3648 3722 3984 4731 5312 5583 6308 7296 7444 7968 9462 10624 11166 12616 14888 15936 18924 22332 25232 29776 31872 35359 37848 44664 50464 59552 70718 75696 89328 100928 106077 119104 141436 151392 154463 178656 201856 212154 238208 282872 302784 308926 357312 424308 463389 565744 605568 617852 714624 848616 926778 1131488 1235704 1697232 1853556 2262976 2471408 2934797 3394464 3707112 4525952 4942816 5869594 6788928 7414224 8804391 9885632 11739188 13577856 14828448 17608782 19771264 23478376 29656896 35217564 46956752 59313792 70435128 93913504 140870256 187827008 281740512 375654016 563481024 1126962048