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33796540 = 22537109419
BaseRepresentation
bin1000000011101…
…1000110111100
32100121001010201
42000323012330
532122442130
63204213244
7560160121
oct200730674
970531121
1033796540
1118093928
12b39a224
13700406b
1446ba748
152e78bca
hex203b1bc

33796540 has 48 divisors (see below), whose sum is σ = 73735200. Its totient is φ = 13001472.

The previous prime is 33796489. The next prime is 33796547. The reversal of 33796540 is 4569733.

It is a super-2 number, since 2×337965402 = 2284412231943200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 33796540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33796547) 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, 80451 + ... + 80869.

It is an arithmetic number, because the mean of its divisors is an integer number (1536150).

Almost surely, 233796540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33796540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36867600).

33796540 is an abundant number, since it is smaller than the sum of its proper divisors (39938660).

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

33796540 is a wasteful number, since it uses less digits than its factorization.

33796540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 33796540 is about 5813.4791648375. The cubic root of 33796540 is about 323.3136795602.

The spelling of 33796540 in words is "thirty-three million, seven hundred ninety-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 109 148 185 218 370 419 436 545 740 838 1090 1676 2095 2180 4033 4190 8066 8380 15503 16132 20165 31006 40330 45671 62012 77515 80660 91342 155030 182684 228355 310060 456710 913420 1689827 3379654 6759308 8449135 16898270 33796540