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2896203420 = 22325114193491
BaseRepresentation
bin1010110010100000…
…1000111010011100
321110211201101012100
42230220020322130
521412412002140
61155215405100
7131525215515
oct25450107234
97424641170
102896203420
111256916550
12689b23790
13372041946
141d6907a0c
1511e3de530
hexaca08e9c

2896203420 has 144 divisors (see below), whose sum is σ = 9609425280. Its totient is φ = 700233600.

The previous prime is 2896203389. The next prime is 2896203433. The reversal of 2896203420 is 243026982.

2896203420 is a `hidden beast` number, since 2 + 8 + 9 + 620 + 3 + 4 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827875 + ... + 831365.

It is an arithmetic number, because the mean of its divisors is an integer number (66732120).

Almost surely, 22896203420 is an apocalyptic number.

2896203420 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 2896203420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804712640).

2896203420 is an abundant number, since it is smaller than the sum of its proper divisors (6713221860).

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

2896203420 is a wasteful number, since it uses less digits than its factorization.

2896203420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2896203420 is about 53816.3861662970. The cubic root of 2896203420 is about 1425.4205665382.

The spelling of 2896203420 in words is "two billion, eight hundred ninety-six million, two hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 419 495 660 838 990 1257 1676 1980 2095 2514 3491 3771 4190 4609 5028 6285 6982 7542 8380 9218 10473 12570 13827 13964 15084 17455 18436 18855 20946 23045 25140 27654 31419 34910 37710 38401 41481 41892 46090 52365 55308 62838 69135 69820 75420 76802 82962 92180 104730 115203 125676 138270 153604 157095 165924 192005 207405 209460 230406 276540 314190 345609 384010 414810 460812 576015 628380 691218 768020 829620 1152030 1382436 1462729 1728045 2304060 2925458 3456090 4388187 5850916 6912180 7313645 8776374 13164561 14627290 16090019 17552748 21940935 26329122 29254580 32180038 43881870 48270057 52658244 64360076 65822805 80450095 87763740 96540114 131645610 144810171 160900190 193080228 241350285 263291220 289620342 321800380 482700570 579240684 724050855 965401140 1448101710 2896203420