Search a number
-
+
2689903104 = 29371012477
BaseRepresentation
bin1010000001010100…
…1010101000000000
320221110112020100220
42200111022220000
521002103344404
61122525543040
7123441541050
oct24025125000
96843466326
102689903104
111160420019
12630a14a80
1333b38ca55
141b7365560
1510b23d4d9
hexa054aa00

2689903104 has 160 divisors (see below), whose sum is σ = 8274220416. Its totient is φ = 760627200.

The previous prime is 2689903087. The next prime is 2689903127. The reversal of 2689903104 is 4013099862.

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 15 ways as a sum of consecutive naturals, for example, 1084714 + ... + 1087190.

Almost surely, 22689903104 is an apocalyptic number.

2689903104 is a gapful number since it is divisible by the number (24) 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 2689903104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137110208).

2689903104 is an abundant number, since it is smaller than the sum of its proper divisors (5584317312).

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

2689903104 is a wasteful number, since it uses less digits than its factorization.

2689903104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 2689903104 is about 51864.2757975082. The cubic root of 2689903104 is about 1390.7387174600.

The spelling of 2689903104 in words is "two billion, six hundred eighty-nine million, nine hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 128 168 192 202 224 256 303 336 384 404 448 512 606 672 707 768 808 896 1212 1344 1414 1536 1616 1792 2121 2424 2477 2688 2828 3232 3584 4242 4848 4954 5376 5656 6464 7431 8484 9696 9908 10752 11312 12928 14862 16968 17339 19392 19816 22624 25856 29724 33936 34678 38784 39632 45248 51712 52017 59448 67872 69356 77568 79264 90496 104034 118896 135744 138712 155136 158528 180992 208068 237792 250177 271488 277424 317056 361984 416136 475584 500354 542976 554848 634112 750531 832272 951168 1000708 1085952 1109696 1268224 1501062 1664544 1751239 1902336 2001416 2219392 3002124 3329088 3502478 3804672 4002832 4438784 5253717 6004248 6658176 7004956 8005664 8877568 10507434 12008496 13316352 14009912 16011328 21014868 24016992 26632704 28019824 32022656 42029736 48033984 56039648 64045312 84059472 96067968 112079296 128090624 168118944 192135936 224158592 336237888 384271872 448317184 672475776 896634368 1344951552 2689903104