Search a number
-
+
5462640 = 24355281
BaseRepresentation
bin10100110101101001110000
3101021112100000
4110311221300
52344301030
6313030000
764301031
oct24655160
911245300
105462640
1130a1187
1219b5300
131193541
14a22a88
1572d860
hex535a70

5462640 has 120 divisors (see below), whose sum is σ = 19092528. Its totient is φ = 1451520.

The previous prime is 5462629. The next prime is 5462641. The reversal of 5462640 is 462645.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5462641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19300 + ... + 19580.

Almost surely, 25462640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5462640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9546264).

5462640 is an abundant number, since it is smaller than the sum of its proper divisors (13629888).

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

5462640 is a wasteful number, since it uses less digits than its factorization.

5462640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5462640 is about 2337.2291286906. The cubic root of 5462640 is about 176.1168301436.

The spelling of 5462640 in words is "five million, four hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 281 324 360 405 432 486 540 562 648 720 810 843 972 1080 1124 1215 1296 1405 1620 1686 1944 2160 2248 2430 2529 2810 3240 3372 3888 4215 4496 4860 5058 5620 6480 6744 7587 8430 9720 10116 11240 12645 13488 15174 16860 19440 20232 22480 22761 25290 30348 33720 37935 40464 45522 50580 60696 67440 68283 75870 91044 101160 113805 121392 136566 151740 182088 202320 227610 273132 303480 341415 364176 455220 546264 606960 682830 910440 1092528 1365660 1820880 2731320 5462640