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7240485420 = 22325719302443
BaseRepresentation
bin1101011111001000…
…10000101000101100
3200200121020202202200
412233210100220230
5104312031013140
63154244421500
7344266052640
oct65744205054
920617222680
107240485420
113086079953
1214a09a7890
138b50969cc
144c987ac20
152c59be030
hex1af910a2c

7240485420 has 144 divisors (see below), whose sum is σ = 26421507840. Its totient is φ = 1567859328.

The previous prime is 7240485379. The next prime is 7240485431. The reversal of 7240485420 is 245840427.

7240485420 is a `hidden beast` number, since 72 + 4 + 0 + 48 + 542 + 0 = 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, 127282 + ... + 175161.

Almost surely, 27240485420 is an apocalyptic number.

7240485420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7240485420 is an abundant number, since it is smaller than the sum of its proper divisors (19181022420).

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

7240485420 is a wasteful number, since it uses less digits than its factorization.

7240485420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302484 (or 302479 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 7240485420 is about 85091.0419491970. The cubic root of 7240485420 is about 1934.5912883949.

The spelling of 7240485420 in words is "seven billion, two hundred forty million, four hundred eighty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 23940 302443 604886 907329 1209772 1512215 1814658 2117101 2721987 3024430 3629316 4234202 4536645 5443974 5746417 6048860 6351303 8468404 9073290 10585505 10887948 11492834 12702606 13609935 17239251 18146580 19053909 21171010 22985668 25405212 27219870 28732085 31756515 34478502 38107818 40224919 42342020 51717753 54439740 57464170 63513030 68957004 76215636 80449838 86196255 95269545 103435506 114928340 120674757 127026060 160899676 172392510 190539090 201124595 206871012 241349514 258588765 344785020 362024271 381078180 402249190 482699028 517177530 603373785 724048542 804498380 1034355060 1206747570 1448097084 1810121355 2413495140 3620242710 7240485420