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2100426420 = 223561573887
BaseRepresentation
bin111110100110001…
…1111011010110100
312102101022201101010
41331030133122310
513300202121140
6544231232220
7103023221121
oct17514373264
95371281333
102100426420
119886aa504
124a7518670
13276209c91
1415cd5b748
15c45ed880
hex7d31f6b4

2100426420 has 48 divisors (see below), whose sum is σ = 5977617408. Its totient is φ = 550930560.

The previous prime is 2100426409. The next prime is 2100426431. The reversal of 2100426420 is 246240012.

It is an interprime number because it is at equal distance from previous prime (2100426409) and next prime (2100426431).

It is a super-2 number, since 2×21004264202 = 8823582291668032800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283284 + ... + 290603.

It is an arithmetic number, because the mean of its divisors is an integer number (124533696).

Almost surely, 22100426420 is an apocalyptic number.

2100426420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100426420 is an abundant number, since it is smaller than the sum of its proper divisors (3877190988).

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

2100426420 is a wasteful number, since it uses less digits than its factorization.

2100426420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573960 (or 573958 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2100426420 is about 45830.4093370330. The cubic root of 2100426420 is about 1280.6658360368.

Adding to 2100426420 its reverse (246240012), we get a palindrome (2346666432).

The spelling of 2100426420 in words is "two billion, one hundred million, four hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 573887 1147774 1721661 2295548 2869435 3443322 5738870 6886644 8608305 11477740 17216610 34433220 35007107 70014214 105021321 140028428 175035535 210042642 350071070 420085284 525106605 700142140 1050213210 2100426420