Search a number
-
+
3125004620 = 225292475967
BaseRepresentation
bin1011101001000011…
…1100100101001100
322001210020200102212
42322100330211030
522400000121440
61234031405552
7140304046433
oct27220744514
98053220385
103125004620
111363a90251
127326838b8
133aa57137a
1421906611a
15134537465
hexba43c94c

3125004620 has 144 divisors (see below), whose sum is σ = 7164218880. Its totient is φ = 1143867648.

The previous prime is 3125004611. The next prime is 3125004643. The reversal of 3125004620 is 264005213.

It is a super-3 number, since 3×31250046203 (a number of 29 digits) contains 333 as substring.

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, 46641827 + ... + 46641893.

It is an arithmetic number, because the mean of its divisors is an integer number (49751520).

Almost surely, 23125004620 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 3125004620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582109440).

3125004620 is an abundant number, since it is smaller than the sum of its proper divisors (4039214260).

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

3125004620 is a wasteful number, since it uses less digits than its factorization.

3125004620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3125004620 is about 55901.7407600157. The cubic root of 3125004620 is about 1462.0095895840.

Adding to 3125004620 its reverse (264005213), we get a palindrome (3389009833).

The spelling of 3125004620 in words is "three billion, one hundred twenty-five million, four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 47 58 59 67 94 116 118 134 145 188 235 236 268 290 295 335 470 580 590 670 841 940 1180 1340 1363 1682 1711 1943 2726 2773 3149 3364 3422 3886 3953 4205 5452 5546 6298 6815 6844 7772 7906 8410 8555 9715 11092 12596 13630 13865 15745 15812 16820 17110 19430 19765 27260 27730 31490 34220 38860 39527 39530 49619 55460 56347 62980 79054 79060 80417 91321 99238 112694 114637 158108 160834 182642 185791 197635 198476 225388 229274 248095 281735 321668 365284 371582 395270 402085 456605 458548 496190 563470 573185 743164 790540 804170 913210 928955 992380 1126940 1146370 1608340 1826420 1857910 2292740 2332093 2648309 3324473 3715820 4664186 5296618 5387939 6648946 9328372 10593236 10775878 11660465 13241545 13297892 16622365 21551756 23320930 26483090 26939695 33244730 46641860 52966180 53879390 66489460 107758780 156250231 312500462 625000924 781251155 1562502310 3125004620