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95416320 = 212351553
BaseRepresentation
bin1011010111111…
…11000000000000
320122112122120210
411223333000000
5143411310240
613245034120
72236011456
oct553770000
9218478523
1095416320
114995076a
1227b55940
13169ca37c
14c95a9d6
15859b780
hex5aff000

95416320 has 104 divisors (see below), whose sum is σ = 305491536. Its totient is φ = 25427968.

The previous prime is 95416301. The next prime is 95416327. The reversal of 95416320 is 2361459.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95416327) 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, 60664 + ... + 62216.

Almost surely, 295416320 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 95416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152745768).

95416320 is an abundant number, since it is smaller than the sum of its proper divisors (210075216).

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

95416320 is a wasteful number, since it uses less digits than its factorization.

95416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 95416320 is about 9768.1277632922. The cubic root of 95416320 is about 456.9558282540.

Adding to 95416320 its reverse (2361459), we get a palindrome (97777779).

The spelling of 95416320 in words is "ninety-five million, four hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1553 1920 2048 2560 3072 3106 3840 4096 4659 5120 6144 6212 7680 7765 9318 10240 12288 12424 15360 15530 18636 20480 23295 24848 30720 31060 37272 46590 49696 61440 62120 74544 93180 99392 124240 149088 186360 198784 248480 298176 372720 397568 496960 596352 745440 795136 993920 1192704 1490880 1590272 1987840 2385408 2981760 3180544 3975680 4770816 5963520 6361088 7951360 9541632 11927040 15902720 19083264 23854080 31805440 47708160 95416320