Search a number
-
+
101463440 = 2451397561
BaseRepresentation
bin1100000110000…
…11010110010000
321001220212200012
412003003112100
5201433312230
614022414052
72341265531
oct603032620
9231825605
10101463440
1152300a91
1229b91328
1318036950
14d692688
158d93395
hex60c3590

101463440 has 40 divisors (see below), whose sum is σ = 254051448. Its totient is φ = 37463040.

The previous prime is 101463437. The next prime is 101463443. The reversal of 101463440 is 44364101.

It is an interprime number because it is at equal distance from previous prime (101463437) and next prime (101463443).

It can be written as a sum of positive squares in 4 ways, for example, as 2421136 + 99042304 = 1556^2 + 9952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101463443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47741 + ... + 49820.

Almost surely, 2101463440 is an apocalyptic number.

101463440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101463440 is an abundant number, since it is smaller than the sum of its proper divisors (152588008).

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

101463440 is a wasteful number, since it uses less digits than its factorization.

101463440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97587 (or 97581 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 101463440 is about 10072.9062340518. The cubic root of 101463440 is about 466.4121560048.

The spelling of 101463440 in words is "one hundred one million, four hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 97561 195122 390244 487805 780488 975610 1268293 1560976 1951220 2536586 3902440 5073172 6341465 7804880 10146344 12682930 20292688 25365860 50731720 101463440