Search a number
-
+
667173420 = 2232523295557
BaseRepresentation
bin100111110001000…
…100001000101100
31201111101220212200
4213301010020230
52331244022140
6150111501500
722350611004
oct4761041054
91644356780
10667173420
113126692a1
12167527890
13a82b7994
1464871004
153d88b030
hex27c4422c

667173420 has 144 divisors (see below), whose sum is σ = 2184960960. Its totient is φ = 164279808.

The previous prime is 667173389. The next prime is 667173431. The reversal of 667173420 is 24371766.

667173420 is a `hidden beast` number, since 6 + 67 + 173 + 420 = 666.

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

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, 117282 + ... + 122838.

It is an arithmetic number, because the mean of its divisors is an integer number (15173340).

Almost surely, 2667173420 is an apocalyptic number.

667173420 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 667173420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092480480).

667173420 is an abundant number, since it is smaller than the sum of its proper divisors (1517787540).

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

667173420 is a wasteful number, since it uses less digits than its factorization.

667173420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5624 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 667173420 is about 25829.7003466939. The cubic root of 667173420 is about 873.8017535826.

The spelling of 667173420 in words is "six hundred sixty-seven million, one hundred seventy-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 29 30 36 45 46 58 60 69 87 90 92 115 116 138 145 174 180 207 230 261 276 290 345 348 414 435 460 522 580 667 690 828 870 1035 1044 1305 1334 1380 1740 2001 2070 2610 2668 3335 4002 4140 5220 5557 6003 6670 8004 10005 11114 12006 13340 16671 20010 22228 24012 27785 30015 33342 40020 50013 55570 60030 66684 83355 100026 111140 120060 127811 161153 166710 200052 250065 255622 322306 333420 383433 483459 500130 511244 639055 644612 766866 805765 966918 1000260 1150299 1278110 1450377 1533732 1611530 1917165 1933836 2300598 2417295 2556220 2900754 3223060 3706519 3834330 4601196 4834590 5751495 5801508 7251885 7413038 7668660 9669180 11119557 11502990 14503770 14826076 18532595 22239114 23005980 29007540 33358671 37065190 44478228 55597785 66717342 74130380 111195570 133434684 166793355 222391140 333586710 667173420