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1672768104 = 233723974463
BaseRepresentation
bin110001110110100…
…0110101001101000
311022120121102110020
41203231012221220
511411212034404
6433553120440
756311202640
oct14355065150
94276542406
101672768104
11789263487
123a8259120
13208733517
1411c237520
159bcc4ed9
hex63b46a68

1672768104 has 128 divisors (see below), whose sum is σ = 5039677440. Its totient is φ = 452339712.

The previous prime is 1672768093. The next prime is 1672768133. The reversal of 1672768104 is 4018672761.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372577 + ... + 377039.

It is an arithmetic number, because the mean of its divisors is an integer number (39372480).

Almost surely, 21672768104 is an apocalyptic number.

1672768104 is a gapful number since it is divisible by the number (14) 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 1672768104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519838720).

1672768104 is an abundant number, since it is smaller than the sum of its proper divisors (3366909336).

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

1672768104 is a wasteful number, since it uses less digits than its factorization.

1672768104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 1672768104 is about 40899.4878207539. The cubic root of 1672768104 is about 1187.0761503269.

The spelling of 1672768104 in words is "one billion, six hundred seventy-two million, seven hundred sixty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 97 138 161 168 184 194 276 291 322 388 483 552 582 644 679 776 966 1164 1288 1358 1932 2037 2231 2328 2716 3864 4074 4462 4463 5432 6693 8148 8924 8926 13386 13389 15617 16296 17848 17852 26772 26778 31234 31241 35704 46851 53544 53556 62468 62482 93702 93723 102649 107112 124936 124964 187404 187446 205298 249928 307947 374808 374892 410596 432911 615894 718543 749784 821192 865822 1231788 1298733 1437086 1731644 2155629 2463576 2597466 2874172 3030377 3463288 4311258 5194932 5748344 6060754 8622516 9091131 9956953 10389864 12121508 17245032 18182262 19913906 24243016 29870859 36364524 39827812 59741718 69698671 72729048 79655624 119483436 139397342 209096013 238966872 278794684 418192026 557589368 836384052 1672768104