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131420640 = 25351321061
BaseRepresentation
bin1111101010101…
…01000111100000
3100011021212020010
413311111013200
5232120430030
621012444520
73154025361
oct765250740
9304255203
10131420640
11682022aa
1238019740
13212c52c0
141364db68
15b80e6b0
hex7d551e0

131420640 has 96 divisors (see below), whose sum is σ = 445840416. Its totient is φ = 32348160.

The previous prime is 131420593. The next prime is 131420647. The reversal of 131420640 is 46024131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131420647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4291 + ... + 16770.

It is an arithmetic number, because the mean of its divisors is an integer number (4644171).

Almost surely, 2131420640 is an apocalyptic number.

131420640 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 131420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222920208).

131420640 is an abundant number, since it is smaller than the sum of its proper divisors (314419776).

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

131420640 is a wasteful number, since it uses less digits than its factorization.

131420640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21092 (or 21084 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 131420640 is about 11463.8841585215. The cubic root of 131420640 is about 508.4183216018.

Adding to 131420640 its reverse (46024131), we get a palindrome (177444771).

The spelling of 131420640 in words is "one hundred thirty-one million, four hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 21061 42122 63183 84244 105305 126366 168488 210610 252732 273793 315915 336976 421220 505464 547586 631830 673952 821379 842440 1010928 1095172 1263660 1368965 1642758 1684880 2021856 2190344 2527320 2737930 3285516 3369760 4106895 4380688 5054640 5475860 6571032 8213790 8761376 10109280 10951720 13142064 16427580 21903440 26284128 32855160 43806880 65710320 131420640