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2142430704 = 243247794007
BaseRepresentation
bin111111110110010…
…1110010111110000
312112022100202102100
41333230232113300
513341430240304
6552331420400
7104043234441
oct17754562760
95468322370
102142430704
119aa389997
124b95b4700
13281b25b9b
141647732c8
15c8149439
hex7fb2e5f0

2142430704 has 120 divisors (see below), whose sum is σ = 6202460160. Its totient is φ = 689929344.

The previous prime is 2142430669. The next prime is 2142430727. The reversal of 2142430704 is 4070342412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532669 + ... + 536675.

It is an arithmetic number, because the mean of its divisors is an integer number (51687168).

Almost surely, 22142430704 is an apocalyptic number.

2142430704 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 2142430704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101230080).

2142430704 is an abundant number, since it is smaller than the sum of its proper divisors (4060029456).

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

2142430704 is a wasteful number, since it uses less digits than its factorization.

2142430704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2142430704 is about 46286.3986933527. The cubic root of 2142430704 is about 1289.1464625976.

The spelling of 2142430704 in words is "two billion, one hundred forty-two million, four hundred thirty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 79 94 141 144 158 188 237 282 316 376 423 474 564 632 711 752 846 948 1128 1264 1422 1692 1896 2256 2844 3384 3713 3792 4007 5688 6768 7426 8014 11139 11376 12021 14852 16028 22278 24042 29704 32056 33417 36063 44556 48084 59408 64112 66834 72126 89112 96168 133668 144252 178224 188329 192336 267336 288504 316553 376658 534672 564987 577008 633106 753316 949659 1129974 1266212 1506632 1694961 1899318 2259948 2532424 2848977 3013264 3389922 3798636 4519896 5064848 5697954 6779844 7597272 9039792 11395908 13559688 14877991 15194544 22791816 27119376 29755982 44633973 45583632 59511964 89267946 119023928 133901919 178535892 238047856 267803838 357071784 535607676 714143568 1071215352 2142430704