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1340420120 = 235132832389
BaseRepresentation
bin100111111100101…
…0011000000011000
310110102020101201122
41033321103000120
510221121420440
6341001504412
745134245244
oct11771230030
93412211648
101340420120
116286a5526
12314aa2108
1318491ab00
14ca043424
157ca267b5
hex4fe53018

1340420120 has 96 divisors (see below), whose sum is σ = 3306517200. Its totient is φ = 488756736.

The previous prime is 1340420117. The next prime is 1340420153. The reversal of 1340420120 is 210240431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559886 + ... + 562274.

Almost surely, 21340420120 is an apocalyptic number.

1340420120 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 1340420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653258600).

1340420120 is an abundant number, since it is smaller than the sum of its proper divisors (1966097080).

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

1340420120 is a wasteful number, since it uses less digits than its factorization.

1340420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1340420120 is about 36611.7483876419. The cubic root of 1340420120 is about 1102.5889761474.

Adding to 1340420120 its reverse (210240431), we get a palindrome (1550660551).

The spelling of 1340420120 in words is "one billion, three hundred forty million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 83 104 130 166 169 260 332 338 415 520 664 676 830 845 1079 1352 1660 1690 2158 2389 3320 3380 4316 4778 5395 6760 8632 9556 10790 11945 14027 19112 21580 23890 28054 31057 43160 47780 56108 62114 70135 95560 112216 124228 140270 155285 198287 248456 280540 310570 396574 403741 561080 621140 793148 807482 991435 1242280 1586296 1614964 1982870 2018705 2577731 3229928 3965740 4037410 5155462 7931480 8074820 10310924 12888655 16149640 20621848 25777310 33510503 51554620 67021006 103109240 134042012 167552515 268084024 335105030 670210060 1340420120