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1247120680 = 2351317711987
BaseRepresentation
bin100101001010101…
…1000110100101000
310012220200021221211
41022111120310220
510023230330210
6323430042504
742622231231
oct11225306450
93186607854
101247120680
1158aa70253
122a97a9434
1316b4b2140
14bb8b8088
157474738a
hex4a558d28

1247120680 has 128 divisors (see below), whose sum is σ = 3246324480. Its totient is φ = 427069440.

The previous prime is 1247120671. The next prime is 1247120681. The reversal of 1247120680 is 860217421.

It is not an unprimeable number, because it can be changed into a prime (1247120681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626647 + ... + 628633.

It is an arithmetic number, because the mean of its divisors is an integer number (25361910).

Almost surely, 21247120680 is an apocalyptic number.

1247120680 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 1247120680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623162240).

1247120680 is an abundant number, since it is smaller than the sum of its proper divisors (1999203800).

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

1247120680 is a wasteful number, since it uses less digits than its factorization.

1247120680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 1247120680 is about 35314.5958493085. The cubic root of 1247120680 is about 1076.3896015478.

The spelling of 1247120680 in words is "one billion, two hundred forty-seven million, one hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 71 85 104 130 136 142 170 221 260 284 340 355 442 520 568 680 710 884 923 1105 1207 1420 1768 1846 1987 2210 2414 2840 3692 3974 4420 4615 4828 6035 7384 7948 8840 9230 9656 9935 12070 15691 15896 18460 19870 24140 25831 31382 33779 36920 39740 48280 51662 62764 67558 78455 79480 103324 125528 129155 135116 141077 156910 168895 206648 258310 270232 282154 313820 337790 439127 516620 564308 627640 675580 705385 878254 1033240 1128616 1351160 1410770 1756508 1834001 2195635 2398309 2821540 3513016 3668002 4391270 4796618 5643080 7336004 8782540 9170005 9593236 11991545 14672008 17565080 18340010 19186472 23983090 31178017 36680020 47966180 62356034 73360040 95932360 124712068 155890085 249424136 311780170 623560340 1247120680