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2128413120 = 26356733091
BaseRepresentation
bin111111011011101…
…0000000111000000
312111022222120220120
41332313100013000
513324333204440
6551111140240
7103513133031
oct17667200700
95438876816
102128413120
119a2485309
124b4974680
1327bc58762
14162964a88
15c6ccadd0
hex7edd01c0

2128413120 has 112 divisors (see below), whose sum is σ = 6858780288. Its totient is φ = 559088640.

The previous prime is 2128413103. The next prime is 2128413121. The reversal of 2128413120 is 213148212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128413121) 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, 47775 + ... + 80865.

Almost surely, 22128413120 is an apocalyptic number.

2128413120 is a gapful number since it is divisible by the number (20) 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 2128413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429390144).

2128413120 is an abundant number, since it is smaller than the sum of its proper divisors (4730367168).

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

2128413120 is a wasteful number, since it uses less digits than its factorization.

2128413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33178 (or 33168 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2128413120 is about 46134.7279172642. The cubic root of 2128413120 is about 1286.3287481265.

The spelling of 2128413120 in words is "two billion, one hundred twenty-eight million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2680 3216 4020 4288 5360 6432 8040 10720 12864 16080 21440 32160 33091 64320 66182 99273 132364 165455 198546 264728 330910 397092 496365 529456 661820 794184 992730 1058912 1323640 1588368 1985460 2117824 2217097 2647280 3176736 3970920 4434194 5294560 6353472 6651291 7941840 8868388 10589120 11085485 13302582 15883680 17736776 22170970 26605164 31767360 33256455 35473552 44341940 53210328 66512910 70947104 88683880 106420656 133025820 141894208 177367760 212841312 266051640 354735520 425682624 532103280 709471040 1064206560 2128413120