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90376704 = 2932111783
BaseRepresentation
bin1010110001100…
…00101000000000
320022001121112100
411120300220000
5141114023304
612545030400
72145121635
oct530605000
9208047470
1090376704
11470193a0
1226325400
1315954552
14c00818c
157e03439
hex5630a00

90376704 has 120 divisors (see below), whose sum is σ = 284704992. Its totient is φ = 27371520.

The previous prime is 90376703. The next prime is 90376733. The reversal of 90376704 is 40767309.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90376703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49797 + ... + 51579.

Almost surely, 290376704 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 90376704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142352496).

90376704 is an abundant number, since it is smaller than the sum of its proper divisors (194328288).

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

90376704 is a wasteful number, since it uses less digits than its factorization.

90376704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 90376704 is about 9506.6662926601. Note that the first 3 decimals coincide. The cubic root of 90376704 is about 448.7648499262.

The spelling of 90376704 in words is "ninety million, three hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 1783 2112 2304 2816 3168 3566 4224 4608 5349 5632 6336 7132 8448 10698 12672 14264 16047 16896 19613 21396 25344 28528 32094 39226 42792 50688 57056 58839 64188 78452 85584 114112 117678 128376 156904 171168 176517 228224 235356 256752 313808 342336 353034 456448 470712 513504 627616 684672 706068 912896 941424 1027008 1255232 1369344 1412136 1882848 2054016 2510464 2738688 2824272 3765696 4108032 5020928 5648544 7531392 8216064 10041856 11297088 15062784 22594176 30125568 45188352 90376704