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30007037 = 371137177
BaseRepresentation
bin111001001110…
…1111011111101
32002110111220202
41302131323331
530140211122
62551053245
7513025034
oct162357375
962414822
1030007037
1115a35805
12a071225
1362a8258
143db171b
15297ae92
hex1c9defd

30007037 has 8 divisors (see below), whose sum is σ = 31095096. Its totient is φ = 28933632.

The previous prime is 30007013. The next prime is 30007049. The reversal of 30007037 is 73070003.

It can be written as a sum of positive squares in 4 ways, for example, as 8375236 + 21631801 = 2894^2 + 4651^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 30007037 - 210 = 30006013 is a prime.

It is a super-3 number, since 3×300070373 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30007067) 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, 593 + ... + 7769.

It is an arithmetic number, because the mean of its divisors is an integer number (3886887).

Almost surely, 230007037 is an apocalyptic number.

30007037 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

30007037 is a deficient number, since it is larger than the sum of its proper divisors (1088059).

30007037 is a wasteful number, since it uses less digits than its factorization.

30007037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327.

The product of its (nonzero) digits is 441, while the sum is 20.

The square root of 30007037 is about 5477.8679246583. The cubic root of 30007037 is about 310.7475438017.

It can be divided in two parts, 3000703 and 7, that multiplied together give a triangular number (21004921 = T6481).

The spelling of 30007037 in words is "thirty million, seven thousand, thirty-seven".

Divisors: 1 37 113 4181 7177 265549 811001 30007037