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996372480 = 2123516217
BaseRepresentation
bin111011011000110…
…111000000000000
32120102211222002110
4323120313000000
54020032404410
6242511415320
733456012015
oct7330670000
92512758073
10996372480
11471476434
12239824540
1312b56a01c
149648570c
155c716720
hex3b637000

996372480 has 104 divisors (see below), whose sum is σ = 3188199312. Its totient is φ = 265682944.

The previous prime is 996372473. The next prime is 996372497. The reversal of 996372480 is 84273699.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 53332 + ... + 69548.

Almost surely, 2996372480 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 996372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594099656).

996372480 is an abundant number, since it is smaller than the sum of its proper divisors (2191826832).

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

996372480 is a wasteful number, since it uses less digits than its factorization.

996372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16249 (or 16227 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 996372480 is about 31565.3683647126. The cubic root of 996372480 is about 998.7893616128.

The spelling of 996372480 in words is "nine hundred ninety-six million, three hundred seventy-two thousand, four hundred eighty".

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 1920 2048 2560 3072 3840 4096 5120 6144 7680 10240 12288 15360 16217 20480 30720 32434 48651 61440 64868 81085 97302 129736 162170 194604 243255 259472 324340 389208 486510 518944 648680 778416 973020 1037888 1297360 1556832 1946040 2075776 2594720 3113664 3892080 4151552 5189440 6227328 7784160 8303104 10378880 12454656 15568320 16606208 20757760 24909312 31136640 33212416 41515520 49818624 62273280 66424832 83031040 99637248 124546560 166062080 199274496 249093120 332124160 498186240 996372480