Search a number
-
+
83350720 = 2651913709
BaseRepresentation
bin1001111011111…
…01010011000000
312210211122200201
410331331103000
5132314210340
612134254544
72031320005
oct475752300
9183748621
1083350720
114305a6a2
1223ab7454
131436456b
14b0d98ac
1574b679a
hex4f7d4c0

83350720 has 56 divisors (see below), whose sum is σ = 208940400. Its totient is φ = 31583232.

The previous prime is 83350699. The next prime is 83350741. The reversal of 83350720 is 2705338.

It is an interprime number because it is at equal distance from previous prime (83350699) and next prime (83350741).

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, 775 + ... + 12934.

Almost surely, 283350720 is an apocalyptic number.

83350720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104470200).

83350720 is an abundant number, since it is smaller than the sum of its proper divisors (125589680).

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

83350720 is a wasteful number, since it uses less digits than its factorization.

83350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13745 (or 13735 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 83350720 is about 9129.6615490389. The cubic root of 83350720 is about 436.8206075604.

The spelling of 83350720 in words is "eighty-three million, three hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 6080 13709 27418 54836 68545 109672 137090 219344 260471 274180 438688 520942 548360 877376 1041884 1096720 1302355 2083768 2193440 2604710 4167536 4386880 5209420 8335072 10418840 16670144 20837680 41675360 83350720