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96949620 = 223253714557
BaseRepresentation
bin1011100011101…
…01010101110100
320202102112212200
411301311111310
5144304341440
613341544500
72255025645
oct561652564
9222375780
1096949620
114a7a8759
1228575130
1317116251
14cc396cc
1587a0c30
hex5c75574

96949620 has 72 divisors (see below), whose sum is σ = 302049384. Its totient is φ = 25152768.

The previous prime is 96949591. The next prime is 96949627. The reversal of 96949620 is 2694969.

It can be written as a sum of positive squares in 4 ways, for example, as 12236004 + 84713616 = 3498^2 + 9204^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96949627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619 + ... + 13938.

Almost surely, 296949620 is an apocalyptic number.

96949620 is a gapful number since it is divisible by the number (90) 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 96949620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151024692).

96949620 is an abundant number, since it is smaller than the sum of its proper divisors (205099764).

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

96949620 is a wasteful number, since it uses less digits than its factorization.

96949620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14609 (or 14604 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 96949620 is about 9846.2998126200. The cubic root of 96949620 is about 459.3905286990.

The spelling of 96949620 in words is "ninety-six million, nine hundred forty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 14557 29114 43671 58228 72785 87342 131013 145570 174684 218355 262026 291140 436710 524052 538609 655065 873420 1077218 1310130 1615827 2154436 2620260 2693045 3231654 4847481 5386090 6463308 8079135 9694962 10772180 16158270 19389924 24237405 32316540 48474810 96949620