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36490720 = 2557311051
BaseRepresentation
bin1000101100110…
…0110111100000
32112122220212011
42023030313200
533320200340
63342042304
7622110640
oct213146740
975586764
1036490720
1119664022
1210279394
137738456
144bbc520
15330c0ea
hex22ccde0

36490720 has 96 divisors (see below), whose sum is σ = 101799936. Its totient is φ = 12096000.

The previous prime is 36490691. The next prime is 36490723. The reversal of 36490720 is 2709463.

It is a super-2 number, since 2×364907202 = 2663145292236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36490723) 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, 34195 + ... + 35245.

It is an arithmetic number, because the mean of its divisors is an integer number (1060416).

Almost surely, 236490720 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 36490720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50899968).

36490720 is an abundant number, since it is smaller than the sum of its proper divisors (65309216).

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

36490720 is a wasteful number, since it uses less digits than its factorization.

36490720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 36490720 is about 6040.7549197100. The cubic root of 36490720 is about 331.6862570462.

The spelling of 36490720 in words is "thirty-six million, four hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1051 1085 1120 1240 1736 2102 2170 2480 3472 4204 4340 4960 5255 6944 7357 8408 8680 10510 14714 16816 17360 21020 29428 32581 33632 34720 36785 42040 58856 65162 73570 84080 117712 130324 147140 162905 168160 228067 235424 260648 294280 325810 456134 521296 588560 651620 912268 1042592 1140335 1177120 1303240 1824536 2280670 2606480 3649072 4561340 5212960 7298144 9122680 18245360 36490720