Search a number
-
+
97280000 = 2135419
BaseRepresentation
bin1011100110001…
…10000000000000
320210001100001222
411303012000000
5144400430000
613353014212
72260603106
oct563060000
9223040058
1097280000
114aa039a4
12286b4368
131720073c
14ccc3c76
158818a85
hex5cc6000

97280000 has 140 divisors (see below), whose sum is σ = 255902460. Its totient is φ = 36864000.

The previous prime is 97279997. The next prime is 97280021. The reversal of 97280000 is 8279.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5119991 + ... + 5120009.

Almost surely, 297280000 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 97280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127951230).

97280000 is an abundant number, since it is smaller than the sum of its proper divisors (158622460).

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

97280000 is an frugal number, since it uses more digits than its factorization.

97280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 97280000 is about 9863.0624047504. The cubic root of 97280000 is about 459.9117663156.

Adding to 97280000 its reverse (8279), we get a palindrome (97288279).

The spelling of 97280000 in words is "ninety-seven million, two hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 256 304 320 380 400 475 500 512 608 625 640 760 800 950 1000 1024 1216 1250 1280 1520 1600 1900 2000 2048 2375 2432 2500 2560 3040 3200 3800 4000 4096 4750 4864 5000 5120 6080 6400 7600 8000 8192 9500 9728 10000 10240 11875 12160 12800 15200 16000 19000 19456 20000 20480 23750 24320 25600 30400 32000 38000 38912 40000 40960 47500 48640 51200 60800 64000 76000 77824 80000 95000 97280 102400 121600 128000 152000 155648 160000 190000 194560 204800 243200 256000 304000 320000 380000 389120 486400 512000 608000 640000 760000 778240 972800 1024000 1216000 1280000 1520000 1945600 2432000 2560000 3040000 3891200 4864000 5120000 6080000 9728000 12160000 19456000 24320000 48640000 97280000