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1119829104 = 243312720411
BaseRepresentation
bin100001010111111…
…0011110001110000
32220001011012202000
41002233303301300
54243134012404
6303041454000
736515250612
oct10257636160
92801135660
101119829104
115251291a9
12273041300
1314b004394
14a8a20db2
15684a1339
hex42bf3c70

1119829104 has 80 divisors (see below), whose sum is σ = 3239792640. Its totient is φ = 370319040.

The previous prime is 1119829099. The next prime is 1119829121. The reversal of 1119829104 is 4019289111.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 44659 + ... + 65069.

It is an arithmetic number, because the mean of its divisors is an integer number (40497408).

Almost surely, 21119829104 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 1119829104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619896320).

1119829104 is an abundant number, since it is smaller than the sum of its proper divisors (2119963536).

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

1119829104 is a wasteful number, since it uses less digits than its factorization.

1119829104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20555 (or 20543 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 1119829104 is about 33463.8477166031. The cubic root of 1119829104 is about 1038.4459976554.

The spelling of 1119829104 in words is "one billion, one hundred nineteen million, eight hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 1016 1143 1524 2032 2286 3048 3429 4572 6096 6858 9144 13716 18288 20411 27432 40822 54864 61233 81644 122466 163288 183699 244932 326576 367398 489864 551097 734796 979728 1102194 1469592 2204388 2592197 2939184 4408776 5184394 7776591 8817552 10368788 15553182 20737576 23329773 31106364 41475152 46659546 62212728 69989319 93319092 124425456 139978638 186638184 279957276 373276368 559914552 1119829104