Search a number
-
+
1149408240 = 24354789201
BaseRepresentation
bin100010010000010…
…1001001111110000
32222002210222200120
41010200221033300
54323222030430
6310015450240
740324544301
oct10440511760
92862728616
101149408240
1153a8a1472
12280b26980
1315418c926
14ac9207a8
156ad95610
hex448293f0

1149408240 has 40 divisors (see below), whose sum is σ = 3563166288. Its totient is φ = 306508800.

The previous prime is 1149408229. The next prime is 1149408251. The reversal of 1149408240 is 428049411.

It is an interprime number because it is at equal distance from previous prime (1149408229) and next prime (1149408251).

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

It is a super-2 number, since 2×11494082402 = 2642278604359795200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2394361 + ... + 2394840.

Almost surely, 21149408240 is an apocalyptic number.

1149408240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1149408240 is an abundant number, since it is smaller than the sum of its proper divisors (2413758048).

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

1149408240 is a wasteful number, since it uses less digits than its factorization.

1149408240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789217 (or 4789211 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1149408240 is about 33902.9237677225. The cubic root of 1149408240 is about 1047.5098177681.

The spelling of 1149408240 in words is "one billion, one hundred forty-nine million, four hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4789201 9578402 14367603 19156804 23946005 28735206 38313608 47892010 57470412 71838015 76627216 95784020 114940824 143676030 191568040 229881648 287352060 383136080 574704120 1149408240