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2130099408 = 243247491641
BaseRepresentation
bin111111011110110…
…1011110011010000
312111110011021001200
41332331223303100
513330301140113
6551211231200
7103533355233
oct17675536320
95443137050
102130099408
119a3427238
124b5448500
1327c3c9168
14162c8341a
15c7010873
hex7ef6bcd0

2130099408 has 120 divisors (see below), whose sum is σ = 6110073216. Its totient is φ = 692428800.

The previous prime is 2130099407. The next prime is 2130099457. The reversal of 2130099408 is 8049900312.

It is a Cunningham number, because it is equal to 461532-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130099401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3322768 + ... + 3323408.

Almost surely, 22130099408 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 2130099408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055036608).

2130099408 is an abundant number, since it is smaller than the sum of its proper divisors (3979973808).

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

2130099408 is a wasteful number, since it uses less digits than its factorization.

2130099408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2130099408 is about 46152.9999891665. Note that the first 4 decimals coincide. The cubic root of 2130099408 is about 1286.6683670531.

The spelling of 2130099408 in words is "two billion, one hundred thirty million, ninety-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 491 564 641 752 846 982 1128 1282 1473 1692 1923 1964 2256 2564 2946 3384 3846 3928 4419 5128 5769 5892 6768 7692 7856 8838 10256 11538 11784 15384 17676 23076 23077 23568 30127 30768 35352 46152 46154 60254 69231 70704 90381 92304 92308 120508 138462 180762 184616 207693 241016 271143 276924 314731 361524 369232 415386 482032 542286 553848 629462 723048 830772 944193 1084572 1107696 1258924 1446096 1661544 1888386 2169144 2517848 2832579 3323088 3776772 4338288 5035696 5665158 7553544 11330316 14792357 15107088 22660632 29584714 44377071 45321264 59169428 88754142 118338856 133131213 177508284 236677712 266262426 355016568 532524852 710033136 1065049704 2130099408