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675201420 = 223451632557
BaseRepresentation
bin101000001111101…
…100000110001100
31202001111210020000
4220033230012030
52340322421140
6150555524300
722506055155
oct5017540614
91661453200
10675201420
11317151903
1216a159690
13a9b68a8a
146596092c
153e424a30
hex283ec18c

675201420 has 120 divisors (see below), whose sum is σ = 2131959984. Its totient is φ = 178879104.

The previous prime is 675201413. The next prime is 675201467. The reversal of 675201420 is 24102576.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 262782 + ... + 265338.

Almost surely, 2675201420 is an apocalyptic number.

675201420 is a gapful number since it is divisible by the number (60) 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 675201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065979992).

675201420 is an abundant number, since it is smaller than the sum of its proper divisors (1456758564).

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

675201420 is a wasteful number, since it uses less digits than its factorization.

675201420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 675201420 is about 25984.6381541094. The cubic root of 675201420 is about 877.2925654759.

Adding to 675201420 its reverse (24102576), we get a palindrome (699303996).

The spelling of 675201420 in words is "six hundred seventy-five million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 163 180 270 324 326 405 489 540 652 810 815 978 1467 1620 1630 1956 2445 2557 2934 3260 4401 4890 5114 5868 7335 7671 8802 9780 10228 12785 13203 14670 15342 17604 22005 23013 25570 26406 29340 30684 38355 44010 46026 51140 52812 66015 69039 76710 88020 92052 115065 132030 138078 153420 207117 230130 264060 276156 345195 414234 416791 460260 690390 828468 833582 1035585 1250373 1380780 1667164 2071170 2083955 2500746 3751119 4142340 4167910 5001492 6251865 7502238 8335820 11253357 12503730 15004476 18755595 22506714 25007460 33760071 37511190 45013428 56266785 67520142 75022380 112533570 135040284 168800355 225067140 337600710 675201420