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1242462640 = 245314361191
BaseRepresentation
bin100101000001110…
…0111100110110000
310012120220122022211
41022003213212300
510021032301030
6323142141504
742534521026
oct11203474660
93176818284
101242462640
11588379631
122a8121894
1316a540bc3
14bb024716
157412712a
hex4a0e79b0

1242462640 has 160 divisors (see below), whose sum is σ = 3117514752. Its totient is φ = 459648000.

The previous prime is 1242462619. The next prime is 1242462653. The reversal of 1242462640 is 462642421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6504945 + ... + 6505135.

Almost surely, 21242462640 is an apocalyptic number.

1242462640 is a gapful number since it is divisible by the number (10) 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 1242462640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558757376).

1242462640 is an abundant number, since it is smaller than the sum of its proper divisors (1875052112).

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

1242462640 is a wasteful number, since it uses less digits than its factorization.

1242462640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 1242462640 is about 35248.5835176394. The cubic root of 1242462640 is about 1075.0478118270.

The spelling of 1242462640 in words is "one billion, two hundred forty-two million, four hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 43 61 62 80 86 122 124 155 172 191 215 244 248 305 310 344 382 430 488 496 610 620 688 764 860 955 976 1220 1240 1333 1528 1720 1891 1910 2440 2480 2623 2666 3056 3440 3782 3820 4880 5246 5332 5921 6665 7564 7640 8213 9455 10492 10664 11651 11842 13115 13330 15128 15280 16426 18910 20984 21328 23302 23684 26230 26660 29605 30256 32852 37820 41065 41968 46604 47368 52460 53320 58255 59210 65704 75640 81313 82130 93208 94736 104920 106640 116510 118420 131408 151280 162626 164260 186416 209840 233020 236840 254603 325252 328520 361181 406565 466040 473680 500993 509206 650504 657040 722362 813130 932080 1001986 1018412 1273015 1301008 1444724 1626260 1805905 2003972 2036824 2504965 2546030 2889448 3252520 3611810 4007944 4073648 5009930 5092060 5778896 6505040 7223620 8015888 10019860 10184120 14447240 15530783 20039720 20368240 28894480 31061566 40079440 62123132 77653915 124246264 155307830 248492528 310615660 621231320 1242462640