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151007440 = 2451999347
BaseRepresentation
bin10010000000000…
…11000011010000
3101112010222021011
421000003003100
5302124214230
622552340304
73512353633
oct1100030320
9345128234
10151007440
1178270141
12426a4694
132539261c
14160abc1a
15d3cce2a
hex90030d0

151007440 has 40 divisors (see below), whose sum is σ = 369574560. Its totient is φ = 57223296.

The previous prime is 151007431. The next prime is 151007449. The reversal of 151007440 is 44700151.

It is an interprime number because it is at equal distance from previous prime (151007431) and next prime (151007449).

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 (151007449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48154 + ... + 51193.

It is an arithmetic number, because the mean of its divisors is an integer number (9239364).

Almost surely, 2151007440 is an apocalyptic number.

151007440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151007440 is an abundant number, since it is smaller than the sum of its proper divisors (218567120).

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

151007440 is a wasteful number, since it uses less digits than its factorization.

151007440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99379 (or 99373 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 151007440 is about 12288.5084530223. The cubic root of 151007440 is about 532.5161478348.

Adding to 151007440 its reverse (44700151), we get a palindrome (195707591).

The spelling of 151007440 in words is "one hundred fifty-one million, seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 99347 198694 397388 496735 794776 993470 1589552 1887593 1986940 3775186 3973880 7550372 7947760 9437965 15100744 18875930 30201488 37751860 75503720 151007440