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100270720 = 2751114243
BaseRepresentation
bin1011111101000…
…00001010000000
320222200021120101
411332200022000
5201132130340
613541052144
72325200314
oct576401200
9228607511
10100270720
1151666970
12296b7054
1317a09ab4
14d461b44
158c09c9a
hex5fa0280

100270720 has 64 divisors (see below), whose sum is σ = 261519840. Its totient is φ = 36459520.

The previous prime is 100270717. The next prime is 100270721. The reversal of 100270720 is 27072001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (100270721) 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, 82 + ... + 14161.

Almost surely, 2100270720 is an apocalyptic number.

100270720 is a gapful number since it is divisible by the number (10) 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 100270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130759920).

100270720 is an abundant number, since it is smaller than the sum of its proper divisors (161249120).

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

100270720 is a wasteful number, since it uses less digits than its factorization.

100270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14273 (or 14261 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 100270720 is about 10013.5268512148. The cubic root of 100270720 is about 464.5773629285.

The spelling of 100270720 in words is "one hundred million, two hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 14243 28486 56972 71215 113944 142430 156673 227888 284860 313346 455776 569720 626692 783365 911552 1139440 1253384 1566730 1823104 2278880 2506768 3133460 4557760 5013536 6266920 9115520 10027072 12533840 20054144 25067680 50135360 100270720