Search a number
-
+
201463680 = 2735119539
BaseRepresentation
bin11000000001000…
…01011110000000
3112001002102012210
430000201132000
5403033314210
631554022120
74664261445
oct1400413600
9461072183
10201463680
11a37a2710
1257577940
133297a5a2
141ca839cc
1512a47e20
hexc021780

201463680 has 128 divisors (see below), whose sum is σ = 700617600. Its totient is φ = 48834560.

The previous prime is 201463673. The next prime is 201463687. The reversal of 201463680 is 86364102.

It is an interprime number because it is at equal distance from previous prime (201463673) and next prime (201463687).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2014636802 = 81175228718284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201463687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16351 + ... + 25889.

It is an arithmetic number, because the mean of its divisors is an integer number (5473575).

Almost surely, 2201463680 is an apocalyptic number.

201463680 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 201463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350308800).

201463680 is an abundant number, since it is smaller than the sum of its proper divisors (499153920).

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

201463680 is a wasteful number, since it uses less digits than its factorization.

201463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9572 (or 9560 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 201463680 is about 14193.7901914887. The cubic root of 201463680 is about 586.2266903200.

The spelling of 201463680 in words is "two hundred one million, four hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 9539 10560 19078 21120 28617 38156 47695 57234 76312 95390 104929 114468 143085 152624 190780 209858 228936 286170 305248 314787 381560 419716 457872 524645 572340 610496 629574 763120 839432 915744 1049290 1144680 1220992 1259148 1526240 1573935 1678864 1831488 2098580 2289360 2518296 3052480 3147870 3357728 3662976 4197160 4578720 5036592 6104960 6295740 6715456 8394320 9157440 10073184 12591480 13430912 16788640 18314880 20146368 25182960 33577280 40292736 50365920 67154560 100731840 201463680